Basic Math Examples

$\frac{1}{2} + \frac{1}{6} + \frac{1}{12} + \frac{1}{20} + \frac{1}{30} + \frac{1}{40} + \frac{1}{50} + \frac{1}{60} + \frac{1}{70} + \frac{1}{80} + \frac{1}{90} + \frac{1}{100} + \frac{1}{110}$

Step 1

Find the common denominator.

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Step 1.1

Multiply $\frac{1}{2}$ by $\frac{138600}{138600}$ .

$\frac{1}{2} \cdot \frac{138600}{138600} + \frac{1}{6} + \frac{1}{12} + \frac{1}{20} + \frac{1}{30} + \frac{1}{40} + \frac{1}{50} + \frac{1}{60} + \frac{1}{70} + \frac{1}{80} + \frac{1}{90} + \frac{1}{100} + \frac{1}{110}$

Step 1.2

Multiply $\frac{1}{2}$ by $\frac{138600}{138600}$ .

$\frac{138600}{2 \cdot 138600} + \frac{1}{6} + \frac{1}{12} + \frac{1}{20} + \frac{1}{30} + \frac{1}{40} + \frac{1}{50} + \frac{1}{60} + \frac{1}{70} + \frac{1}{80} + \frac{1}{90} + \frac{1}{100} + \frac{1}{110}$

Step 1.3

Multiply $\frac{1}{6}$ by $\frac{46200}{46200}$ .

$\frac{138600}{2 \cdot 138600} + \frac{1}{6} \cdot \frac{46200}{46200} + \frac{1}{12} + \frac{1}{20} + \frac{1}{30} + \frac{1}{40} + \frac{1}{50} + \frac{1}{60} + \frac{1}{70} + \frac{1}{80} + \frac{1}{90} + \frac{1}{100} + \frac{1}{110}$

Step 1.4

Multiply $\frac{1}{6}$ by $\frac{46200}{46200}$ .

$\frac{138600}{2 \cdot 138600} + \frac{46200}{6 \cdot 46200} + \frac{1}{12} + \frac{1}{20} + \frac{1}{30} + \frac{1}{40} + \frac{1}{50} + \frac{1}{60} + \frac{1}{70} + \frac{1}{80} + \frac{1}{90} + \frac{1}{100} + \frac{1}{110}$

Step 1.5

Multiply $\frac{1}{12}$ by $\frac{23100}{23100}$ .

$\frac{138600}{2 \cdot 138600} + \frac{46200}{6 \cdot 46200} + \frac{1}{12} \cdot \frac{23100}{23100} + \frac{1}{20} + \frac{1}{30} + \frac{1}{40} + \frac{1}{50} + \frac{1}{60} + \frac{1}{70} + \frac{1}{80} + \frac{1}{90} + \frac{1}{100} + \frac{1}{110}$

Step 1.6

Multiply $\frac{1}{12}$ by $\frac{23100}{23100}$ .

$\frac{138600}{2 \cdot 138600} + \frac{46200}{6 \cdot 46200} + \frac{23100}{12 \cdot 23100} + \frac{1}{20} + \frac{1}{30} + \frac{1}{40} + \frac{1}{50} + \frac{1}{60} + \frac{1}{70} + \frac{1}{80} + \frac{1}{90} + \frac{1}{100} + \frac{1}{110}$

Step 1.7

Multiply $\frac{1}{20}$ by $\frac{13860}{13860}$ .

$\frac{138600}{2 \cdot 138600} + \frac{46200}{6 \cdot 46200} + \frac{23100}{12 \cdot 23100} + \frac{1}{20} \cdot \frac{13860}{13860} + \frac{1}{30} + \frac{1}{40} + \frac{1}{50} + \frac{1}{60} + \frac{1}{70} + \frac{1}{80} + \frac{1}{90} + \frac{1}{100} + \frac{1}{110}$

Step 1.8

Multiply $\frac{1}{20}$ by $\frac{13860}{13860}$ .

$\frac{138600}{2 \cdot 138600} + \frac{46200}{6 \cdot 46200} + \frac{23100}{12 \cdot 23100} + \frac{13860}{20 \cdot 13860} + \frac{1}{30} + \frac{1}{40} + \frac{1}{50} + \frac{1}{60} + \frac{1}{70} + \frac{1}{80} + \frac{1}{90} + \frac{1}{100} + \frac{1}{110}$

Step 1.9

Multiply $\frac{1}{30}$ by $\frac{9240}{9240}$ .

$\frac{138600}{2 \cdot 138600} + \frac{46200}{6 \cdot 46200} + \frac{23100}{12 \cdot 23100} + \frac{13860}{20 \cdot 13860} + \frac{1}{30} \cdot \frac{9240}{9240} + \frac{1}{40} + \frac{1}{50} + \frac{1}{60} + \frac{1}{70} + \frac{1}{80} + \frac{1}{90} + \frac{1}{100} + \frac{1}{110}$

Step 1.10

Multiply $\frac{1}{30}$ by $\frac{9240}{9240}$ .

$\frac{138600}{2 \cdot 138600} + \frac{46200}{6 \cdot 46200} + \frac{23100}{12 \cdot 23100} + \frac{13860}{20 \cdot 13860} + \frac{9240}{30 \cdot 9240} + \frac{1}{40} + \frac{1}{50} + \frac{1}{60} + \frac{1}{70} + \frac{1}{80} + \frac{1}{90} + \frac{1}{100} + \frac{1}{110}$

Step 1.11

Multiply $\frac{1}{40}$ by $\frac{6930}{6930}$ .

$\frac{138600}{2 \cdot 138600} + \frac{46200}{6 \cdot 46200} + \frac{23100}{12 \cdot 23100} + \frac{13860}{20 \cdot 13860} + \frac{9240}{30 \cdot 9240} + \frac{1}{40} \cdot \frac{6930}{6930} + \frac{1}{50} + \frac{1}{60} + \frac{1}{70} + \frac{1}{80} + \frac{1}{90} + \frac{1}{100} + \frac{1}{110}$

Step 1.12

Multiply $\frac{1}{40}$ by $\frac{6930}{6930}$ .

$\frac{138600}{2 \cdot 138600} + \frac{46200}{6 \cdot 46200} + \frac{23100}{12 \cdot 23100} + \frac{13860}{20 \cdot 13860} + \frac{9240}{30 \cdot 9240} + \frac{6930}{40 \cdot 6930} + \frac{1}{50} + \frac{1}{60} + \frac{1}{70} + \frac{1}{80} + \frac{1}{90} + \frac{1}{100} + \frac{1}{110}$

Step 1.13

Multiply $\frac{1}{50}$ by $\frac{5544}{5544}$ .

$\frac{138600}{2 \cdot 138600} + \frac{46200}{6 \cdot 46200} + \frac{23100}{12 \cdot 23100} + \frac{13860}{20 \cdot 13860} + \frac{9240}{30 \cdot 9240} + \frac{6930}{40 \cdot 6930} + \frac{1}{50} \cdot \frac{5544}{5544} + \frac{1}{60} + \frac{1}{70} + \frac{1}{80} + \frac{1}{90} + \frac{1}{100} + \frac{1}{110}$

Step 1.14

Multiply $\frac{1}{50}$ by $\frac{5544}{5544}$ .

$\frac{138600}{2 \cdot 138600} + \frac{46200}{6 \cdot 46200} + \frac{23100}{12 \cdot 23100} + \frac{13860}{20 \cdot 13860} + \frac{9240}{30 \cdot 9240} + \frac{6930}{40 \cdot 6930} + \frac{5544}{50 \cdot 5544} + \frac{1}{60} + \frac{1}{70} + \frac{1}{80} + \frac{1}{90} + \frac{1}{100} + \frac{1}{110}$

Step 1.15

Multiply $\frac{1}{60}$ by $\frac{4620}{4620}$ .

$\frac{138600}{2 \cdot 138600} + \frac{46200}{6 \cdot 46200} + \frac{23100}{12 \cdot 23100} + \frac{13860}{20 \cdot 13860} + \frac{9240}{30 \cdot 9240} + \frac{6930}{40 \cdot 6930} + \frac{5544}{50 \cdot 5544} + \frac{1}{60} \cdot \frac{4620}{4620} + \frac{1}{70} + \frac{1}{80} + \frac{1}{90} + \frac{1}{100} + \frac{1}{110}$

Step 1.16

Multiply $\frac{1}{60}$ by $\frac{4620}{4620}$ .

$\frac{138600}{2 \cdot 138600} + \frac{46200}{6 \cdot 46200} + \frac{23100}{12 \cdot 23100} + \frac{13860}{20 \cdot 13860} + \frac{9240}{30 \cdot 9240} + \frac{6930}{40 \cdot 6930} + \frac{5544}{50 \cdot 5544} + \frac{4620}{60 \cdot 4620} + \frac{1}{70} + \frac{1}{80} + \frac{1}{90} + \frac{1}{100} + \frac{1}{110}$

Step 1.17

Multiply $\frac{1}{70}$ by $\frac{3960}{3960}$ .

$\frac{138600}{2 \cdot 138600} + \frac{46200}{6 \cdot 46200} + \frac{23100}{12 \cdot 23100} + \frac{13860}{20 \cdot 13860} + \frac{9240}{30 \cdot 9240} + \frac{6930}{40 \cdot 6930} + \frac{5544}{50 \cdot 5544} + \frac{4620}{60 \cdot 4620} + \frac{1}{70} \cdot \frac{3960}{3960} + \frac{1}{80} + \frac{1}{90} + \frac{1}{100} + \frac{1}{110}$

Step 1.18

Multiply $\frac{1}{70}$ by $\frac{3960}{3960}$ .

$\frac{138600}{2 \cdot 138600} + \frac{46200}{6 \cdot 46200} + \frac{23100}{12 \cdot 23100} + \frac{13860}{20 \cdot 13860} + \frac{9240}{30 \cdot 9240} + \frac{6930}{40 \cdot 6930} + \frac{5544}{50 \cdot 5544} + \frac{4620}{60 \cdot 4620} + \frac{3960}{70 \cdot 3960} + \frac{1}{80} + \frac{1}{90} + \frac{1}{100} + \frac{1}{110}$

Step 1.19

Multiply $\frac{1}{80}$ by $\frac{3465}{3465}$ .

$\frac{138600}{2 \cdot 138600} + \frac{46200}{6 \cdot 46200} + \frac{23100}{12 \cdot 23100} + \frac{13860}{20 \cdot 13860} + \frac{9240}{30 \cdot 9240} + \frac{6930}{40 \cdot 6930} + \frac{5544}{50 \cdot 5544} + \frac{4620}{60 \cdot 4620} + \frac{3960}{70 \cdot 3960} + \frac{1}{80} \cdot \frac{3465}{3465} + \frac{1}{90} + \frac{1}{100} + \frac{1}{110}$

Step 1.20

Multiply $\frac{1}{80}$ by $\frac{3465}{3465}$ .

$\frac{138600}{2 \cdot 138600} + \frac{46200}{6 \cdot 46200} + \frac{23100}{12 \cdot 23100} + \frac{13860}{20 \cdot 13860} + \frac{9240}{30 \cdot 9240} + \frac{6930}{40 \cdot 6930} + \frac{5544}{50 \cdot 5544} + \frac{4620}{60 \cdot 4620} + \frac{3960}{70 \cdot 3960} + \frac{3465}{80 \cdot 3465} + \frac{1}{90} + \frac{1}{100} + \frac{1}{110}$

Step 1.21

Multiply $\frac{1}{90}$ by $\frac{3080}{3080}$ .

$\frac{138600}{2 \cdot 138600} + \frac{46200}{6 \cdot 46200} + \frac{23100}{12 \cdot 23100} + \frac{13860}{20 \cdot 13860} + \frac{9240}{30 \cdot 9240} + \frac{6930}{40 \cdot 6930} + \frac{5544}{50 \cdot 5544} + \frac{4620}{60 \cdot 4620} + \frac{3960}{70 \cdot 3960} + \frac{3465}{80 \cdot 3465} + \frac{1}{90} \cdot \frac{3080}{3080} + \frac{1}{100} + \frac{1}{110}$

Step 1.22

Multiply $\frac{1}{90}$ by $\frac{3080}{3080}$ .

$\frac{138600}{2 \cdot 138600} + \frac{46200}{6 \cdot 46200} + \frac{23100}{12 \cdot 23100} + \frac{13860}{20 \cdot 13860} + \frac{9240}{30 \cdot 9240} + \frac{6930}{40 \cdot 6930} + \frac{5544}{50 \cdot 5544} + \frac{4620}{60 \cdot 4620} + \frac{3960}{70 \cdot 3960} + \frac{3465}{80 \cdot 3465} + \frac{3080}{90 \cdot 3080} + \frac{1}{100} + \frac{1}{110}$

Step 1.23

Multiply $\frac{1}{100}$ by $\frac{2772}{2772}$ .

$\frac{138600}{2 \cdot 138600} + \frac{46200}{6 \cdot 46200} + \frac{23100}{12 \cdot 23100} + \frac{13860}{20 \cdot 13860} + \frac{9240}{30 \cdot 9240} + \frac{6930}{40 \cdot 6930} + \frac{5544}{50 \cdot 5544} + \frac{4620}{60 \cdot 4620} + \frac{3960}{70 \cdot 3960} + \frac{3465}{80 \cdot 3465} + \frac{3080}{90 \cdot 3080} + \frac{1}{100} \cdot \frac{2772}{2772} + \frac{1}{110}$

Step 1.24

Multiply $\frac{1}{100}$ by $\frac{2772}{2772}$ .

$\frac{138600}{2 \cdot 138600} + \frac{46200}{6 \cdot 46200} + \frac{23100}{12 \cdot 23100} + \frac{13860}{20 \cdot 13860} + \frac{9240}{30 \cdot 9240} + \frac{6930}{40 \cdot 6930} + \frac{5544}{50 \cdot 5544} + \frac{4620}{60 \cdot 4620} + \frac{3960}{70 \cdot 3960} + \frac{3465}{80 \cdot 3465} + \frac{3080}{90 \cdot 3080} + \frac{2772}{100 \cdot 2772} + \frac{1}{110}$

Step 1.25

Multiply $\frac{1}{110}$ by $\frac{2520}{2520}$ .

$\frac{138600}{2 \cdot 138600} + \frac{46200}{6 \cdot 46200} + \frac{23100}{12 \cdot 23100} + \frac{13860}{20 \cdot 13860} + \frac{9240}{30 \cdot 9240} + \frac{6930}{40 \cdot 6930} + \frac{5544}{50 \cdot 5544} + \frac{4620}{60 \cdot 4620} + \frac{3960}{70 \cdot 3960} + \frac{3465}{80 \cdot 3465} + \frac{3080}{90 \cdot 3080} + \frac{2772}{100 \cdot 2772} + \frac{1}{110} \cdot \frac{2520}{2520}$

Step 1.26

Multiply $\frac{1}{110}$ by $\frac{2520}{2520}$ .

$\frac{138600}{2 \cdot 138600} + \frac{46200}{6 \cdot 46200} + \frac{23100}{12 \cdot 23100} + \frac{13860}{20 \cdot 13860} + \frac{9240}{30 \cdot 9240} + \frac{6930}{40 \cdot 6930} + \frac{5544}{50 \cdot 5544} + \frac{4620}{60 \cdot 4620} + \frac{3960}{70 \cdot 3960} + \frac{3465}{80 \cdot 3465} + \frac{3080}{90 \cdot 3080} + \frac{2772}{100 \cdot 2772} + \frac{2520}{110 \cdot 2520}$

Step 1.27

Multiply $2$ by $138600$ .

$\frac{138600}{277200} + \frac{46200}{6 \cdot 46200} + \frac{23100}{12 \cdot 23100} + \frac{13860}{20 \cdot 13860} + \frac{9240}{30 \cdot 9240} + \frac{6930}{40 \cdot 6930} + \frac{5544}{50 \cdot 5544} + \frac{4620}{60 \cdot 4620} + \frac{3960}{70 \cdot 3960} + \frac{3465}{80 \cdot 3465} + \frac{3080}{90 \cdot 3080} + \frac{2772}{100 \cdot 2772} + \frac{2520}{110 \cdot 2520}$

Step 1.28

Multiply $6$ by $46200$ .

$\frac{138600}{277200} + \frac{46200}{277200} + \frac{23100}{12 \cdot 23100} + \frac{13860}{20 \cdot 13860} + \frac{9240}{30 \cdot 9240} + \frac{6930}{40 \cdot 6930} + \frac{5544}{50 \cdot 5544} + \frac{4620}{60 \cdot 4620} + \frac{3960}{70 \cdot 3960} + \frac{3465}{80 \cdot 3465} + \frac{3080}{90 \cdot 3080} + \frac{2772}{100 \cdot 2772} + \frac{2520}{110 \cdot 2520}$

Step 1.29

Multiply $12$ by $23100$ .

$\frac{138600}{277200} + \frac{46200}{277200} + \frac{23100}{277200} + \frac{13860}{20 \cdot 13860} + \frac{9240}{30 \cdot 9240} + \frac{6930}{40 \cdot 6930} + \frac{5544}{50 \cdot 5544} + \frac{4620}{60 \cdot 4620} + \frac{3960}{70 \cdot 3960} + \frac{3465}{80 \cdot 3465} + \frac{3080}{90 \cdot 3080} + \frac{2772}{100 \cdot 2772} + \frac{2520}{110 \cdot 2520}$

Step 1.30

Multiply $20$ by $13860$ .

$\frac{138600}{277200} + \frac{46200}{277200} + \frac{23100}{277200} + \frac{13860}{277200} + \frac{9240}{30 \cdot 9240} + \frac{6930}{40 \cdot 6930} + \frac{5544}{50 \cdot 5544} + \frac{4620}{60 \cdot 4620} + \frac{3960}{70 \cdot 3960} + \frac{3465}{80 \cdot 3465} + \frac{3080}{90 \cdot 3080} + \frac{2772}{100 \cdot 2772} + \frac{2520}{110 \cdot 2520}$

Step 1.31

Multiply $30$ by $9240$ .

$\frac{138600}{277200} + \frac{46200}{277200} + \frac{23100}{277200} + \frac{13860}{277200} + \frac{9240}{277200} + \frac{6930}{40 \cdot 6930} + \frac{5544}{50 \cdot 5544} + \frac{4620}{60 \cdot 4620} + \frac{3960}{70 \cdot 3960} + \frac{3465}{80 \cdot 3465} + \frac{3080}{90 \cdot 3080} + \frac{2772}{100 \cdot 2772} + \frac{2520}{110 \cdot 2520}$

Step 1.32

Multiply $40$ by $6930$ .

$\frac{138600}{277200} + \frac{46200}{277200} + \frac{23100}{277200} + \frac{13860}{277200} + \frac{9240}{277200} + \frac{6930}{277200} + \frac{5544}{50 \cdot 5544} + \frac{4620}{60 \cdot 4620} + \frac{3960}{70 \cdot 3960} + \frac{3465}{80 \cdot 3465} + \frac{3080}{90 \cdot 3080} + \frac{2772}{100 \cdot 2772} + \frac{2520}{110 \cdot 2520}$

Step 1.33

Multiply $50$ by $5544$ .

$\frac{138600}{277200} + \frac{46200}{277200} + \frac{23100}{277200} + \frac{13860}{277200} + \frac{9240}{277200} + \frac{6930}{277200} + \frac{5544}{277200} + \frac{4620}{60 \cdot 4620} + \frac{3960}{70 \cdot 3960} + \frac{3465}{80 \cdot 3465} + \frac{3080}{90 \cdot 3080} + \frac{2772}{100 \cdot 2772} + \frac{2520}{110 \cdot 2520}$

Step 1.34

Multiply $60$ by $4620$ .

$\frac{138600}{277200} + \frac{46200}{277200} + \frac{23100}{277200} + \frac{13860}{277200} + \frac{9240}{277200} + \frac{6930}{277200} + \frac{5544}{277200} + \frac{4620}{277200} + \frac{3960}{70 \cdot 3960} + \frac{3465}{80 \cdot 3465} + \frac{3080}{90 \cdot 3080} + \frac{2772}{100 \cdot 2772} + \frac{2520}{110 \cdot 2520}$

Step 1.35

Multiply $70$ by $3960$ .

$\frac{138600}{277200} + \frac{46200}{277200} + \frac{23100}{277200} + \frac{13860}{277200} + \frac{9240}{277200} + \frac{6930}{277200} + \frac{5544}{277200} + \frac{4620}{277200} + \frac{3960}{277200} + \frac{3465}{80 \cdot 3465} + \frac{3080}{90 \cdot 3080} + \frac{2772}{100 \cdot 2772} + \frac{2520}{110 \cdot 2520}$

Step 1.36

Multiply $80$ by $3465$ .

$\frac{138600}{277200} + \frac{46200}{277200} + \frac{23100}{277200} + \frac{13860}{277200} + \frac{9240}{277200} + \frac{6930}{277200} + \frac{5544}{277200} + \frac{4620}{277200} + \frac{3960}{277200} + \frac{3465}{277200} + \frac{3080}{90 \cdot 3080} + \frac{2772}{100 \cdot 2772} + \frac{2520}{110 \cdot 2520}$

Step 1.37

Multiply $90$ by $3080$ .

$\frac{138600}{277200} + \frac{46200}{277200} + \frac{23100}{277200} + \frac{13860}{277200} + \frac{9240}{277200} + \frac{6930}{277200} + \frac{5544}{277200} + \frac{4620}{277200} + \frac{3960}{277200} + \frac{3465}{277200} + \frac{3080}{277200} + \frac{2772}{100 \cdot 2772} + \frac{2520}{110 \cdot 2520}$

Step 1.38

Multiply $100$ by $2772$ .

$\frac{138600}{277200} + \frac{46200}{277200} + \frac{23100}{277200} + \frac{13860}{277200} + \frac{9240}{277200} + \frac{6930}{277200} + \frac{5544}{277200} + \frac{4620}{277200} + \frac{3960}{277200} + \frac{3465}{277200} + \frac{3080}{277200} + \frac{2772}{277200} + \frac{2520}{110 \cdot 2520}$

Step 1.39

Multiply $110$ by $2520$ .

$\frac{138600}{277200} + \frac{46200}{277200} + \frac{23100}{277200} + \frac{13860}{277200} + \frac{9240}{277200} + \frac{6930}{277200} + \frac{5544}{277200} + \frac{4620}{277200} + \frac{3960}{277200} + \frac{3465}{277200} + \frac{3080}{277200} + \frac{2772}{277200} + \frac{2520}{277200}$

Step 2

Combine the numerators over the common denominator.

$\frac{138600 + 46200 + 23100 + 13860 + 9240 + 6930 + 5544 + 4620 + 3960 + 3465 + 3080 + 2772 + 2520}{277200}$

Step 3

Simplify by adding numbers.

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Step 3.1

Add $138600$ and $46200$ .

$\frac{184800 + 23100 + 13860 + 9240 + 6930 + 5544 + 4620 + 3960 + 3465 + 3080 + 2772 + 2520}{277200}$

Step 3.2

Add $184800$ and $23100$ .

$\frac{207900 + 13860 + 9240 + 6930 + 5544 + 4620 + 3960 + 3465 + 3080 + 2772 + 2520}{277200}$

Step 3.3

Add $207900$ and $13860$ .

$\frac{221760 + 9240 + 6930 + 5544 + 4620 + 3960 + 3465 + 3080 + 2772 + 2520}{277200}$

Step 3.4

Add $221760$ and $9240$ .

$\frac{231000 + 6930 + 5544 + 4620 + 3960 + 3465 + 3080 + 2772 + 2520}{277200}$

Step 3.5

Add $231000$ and $6930$ .

$\frac{237930 + 5544 + 4620 + 3960 + 3465 + 3080 + 2772 + 2520}{277200}$

Step 3.6

Add $237930$ and $5544$ .

$\frac{243474 + 4620 + 3960 + 3465 + 3080 + 2772 + 2520}{277200}$

Step 3.7

Add $243474$ and $4620$ .

$\frac{248094 + 3960 + 3465 + 3080 + 2772 + 2520}{277200}$

Step 3.8

Add $248094$ and $3960$ .

$\frac{252054 + 3465 + 3080 + 2772 + 2520}{277200}$

Step 3.9

Add $252054$ and $3465$ .

$\frac{255519 + 3080 + 2772 + 2520}{277200}$

Step 3.10

Add $255519$ and $3080$ .

$\frac{258599 + 2772 + 2520}{277200}$

Step 3.11

Add $258599$ and $2772$ .

$\frac{261371 + 2520}{277200}$

Step 3.12

Add $261371$ and $2520$ .

$\frac{263891}{277200}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{263891}{277200}$

Decimal Form:

$0.95198773 \dots$