Basic Math Examples

$8 \frac{1}{4} + 12 \frac{1}{2} + 7 \frac{7}{8} + 16 \frac{3}{4} + 10 \frac{3}{8} + 10 \frac{1}{2} + 13 \frac{1}{8}$

Step 1

Convert $8 \frac{1}{4}$ to an improper fraction.

Tap for more steps...

Step 1.1

A mixed number is an addition of its whole and fractional parts.

$8 + \frac{1}{4} + 12 \frac{1}{2} + 7 \frac{7}{8} + 16 \frac{3}{4} + 10 \frac{3}{8} + 10 \frac{1}{2} + 13 \frac{1}{8}$

Step 1.2

Add $8$ and $\frac{1}{4}$ .

Tap for more steps...

Step 1.2.1

To write $8$ as a fraction with a common denominator, multiply by $\frac{4}{4}$ .

$8 \cdot \frac{4}{4} + \frac{1}{4} + 12 \frac{1}{2} + 7 \frac{7}{8} + 16 \frac{3}{4} + 10 \frac{3}{8} + 10 \frac{1}{2} + 13 \frac{1}{8}$

Step 1.2.2

Combine $8$ and $\frac{4}{4}$ .

$\frac{8 \cdot 4}{4} + \frac{1}{4} + 12 \frac{1}{2} + 7 \frac{7}{8} + 16 \frac{3}{4} + 10 \frac{3}{8} + 10 \frac{1}{2} + 13 \frac{1}{8}$

Step 1.2.3

Combine the numerators over the common denominator.

$\frac{8 \cdot 4 + 1}{4} + 12 \frac{1}{2} + 7 \frac{7}{8} + 16 \frac{3}{4} + 10 \frac{3}{8} + 10 \frac{1}{2} + 13 \frac{1}{8}$

Step 1.2.4

Simplify the numerator.

Tap for more steps...

Step 1.2.4.1

Multiply $8$ by $4$ .

$\frac{32 + 1}{4} + 12 \frac{1}{2} + 7 \frac{7}{8} + 16 \frac{3}{4} + 10 \frac{3}{8} + 10 \frac{1}{2} + 13 \frac{1}{8}$

Step 1.2.4.2

Add $32$ and $1$ .

$\frac{33}{4} + 12 \frac{1}{2} + 7 \frac{7}{8} + 16 \frac{3}{4} + 10 \frac{3}{8} + 10 \frac{1}{2} + 13 \frac{1}{8}$

Step 2

Convert $12 \frac{1}{2}$ to an improper fraction.

Tap for more steps...

Step 2.1

A mixed number is an addition of its whole and fractional parts.

$\frac{33}{4} + 12 + \frac{1}{2} + 7 \frac{7}{8} + 16 \frac{3}{4} + 10 \frac{3}{8} + 10 \frac{1}{2} + 13 \frac{1}{8}$

Step 2.2

Add $12$ and $\frac{1}{2}$ .

Tap for more steps...

Step 2.2.1

To write $12$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$\frac{33}{4} + 12 \cdot \frac{2}{2} + \frac{1}{2} + 7 \frac{7}{8} + 16 \frac{3}{4} + 10 \frac{3}{8} + 10 \frac{1}{2} + 13 \frac{1}{8}$

Step 2.2.2

Combine $12$ and $\frac{2}{2}$ .

$\frac{33}{4} + \frac{12 \cdot 2}{2} + \frac{1}{2} + 7 \frac{7}{8} + 16 \frac{3}{4} + 10 \frac{3}{8} + 10 \frac{1}{2} + 13 \frac{1}{8}$

Step 2.2.3

Combine the numerators over the common denominator.

$\frac{33}{4} + \frac{12 \cdot 2 + 1}{2} + 7 \frac{7}{8} + 16 \frac{3}{4} + 10 \frac{3}{8} + 10 \frac{1}{2} + 13 \frac{1}{8}$

Step 2.2.4

Simplify the numerator.

Tap for more steps...

Step 2.2.4.1

Multiply $12$ by $2$ .

$\frac{33}{4} + \frac{24 + 1}{2} + 7 \frac{7}{8} + 16 \frac{3}{4} + 10 \frac{3}{8} + 10 \frac{1}{2} + 13 \frac{1}{8}$

Step 2.2.4.2

Add $24$ and $1$ .

$\frac{33}{4} + \frac{25}{2} + 7 \frac{7}{8} + 16 \frac{3}{4} + 10 \frac{3}{8} + 10 \frac{1}{2} + 13 \frac{1}{8}$

Step 3

Convert $7 \frac{7}{8}$ to an improper fraction.

Tap for more steps...

Step 3.1

A mixed number is an addition of its whole and fractional parts.

$\frac{33}{4} + \frac{25}{2} + 7 + \frac{7}{8} + 16 \frac{3}{4} + 10 \frac{3}{8} + 10 \frac{1}{2} + 13 \frac{1}{8}$

Step 3.2

Add $7$ and $\frac{7}{8}$ .

Tap for more steps...

Step 3.2.1

To write $7$ as a fraction with a common denominator, multiply by $\frac{8}{8}$ .

$\frac{33}{4} + \frac{25}{2} + 7 \cdot \frac{8}{8} + \frac{7}{8} + 16 \frac{3}{4} + 10 \frac{3}{8} + 10 \frac{1}{2} + 13 \frac{1}{8}$

Step 3.2.2

Combine $7$ and $\frac{8}{8}$ .

$\frac{33}{4} + \frac{25}{2} + \frac{7 \cdot 8}{8} + \frac{7}{8} + 16 \frac{3}{4} + 10 \frac{3}{8} + 10 \frac{1}{2} + 13 \frac{1}{8}$

Step 3.2.3

Combine the numerators over the common denominator.

$\frac{33}{4} + \frac{25}{2} + \frac{7 \cdot 8 + 7}{8} + 16 \frac{3}{4} + 10 \frac{3}{8} + 10 \frac{1}{2} + 13 \frac{1}{8}$

Step 3.2.4

Simplify the numerator.

Tap for more steps...

Step 3.2.4.1

Multiply $7$ by $8$ .

$\frac{33}{4} + \frac{25}{2} + \frac{56 + 7}{8} + 16 \frac{3}{4} + 10 \frac{3}{8} + 10 \frac{1}{2} + 13 \frac{1}{8}$

Step 3.2.4.2

Add $56$ and $7$ .

$\frac{33}{4} + \frac{25}{2} + \frac{63}{8} + 16 \frac{3}{4} + 10 \frac{3}{8} + 10 \frac{1}{2} + 13 \frac{1}{8}$

Step 4

Convert $16 \frac{3}{4}$ to an improper fraction.

Tap for more steps...

Step 4.1

A mixed number is an addition of its whole and fractional parts.

$\frac{33}{4} + \frac{25}{2} + \frac{63}{8} + 16 + \frac{3}{4} + 10 \frac{3}{8} + 10 \frac{1}{2} + 13 \frac{1}{8}$

Step 4.2

Add $16$ and $\frac{3}{4}$ .

Tap for more steps...

Step 4.2.1

To write $16$ as a fraction with a common denominator, multiply by $\frac{4}{4}$ .

$\frac{33}{4} + \frac{25}{2} + \frac{63}{8} + 16 \cdot \frac{4}{4} + \frac{3}{4} + 10 \frac{3}{8} + 10 \frac{1}{2} + 13 \frac{1}{8}$

Step 4.2.2

Combine $16$ and $\frac{4}{4}$ .

$\frac{33}{4} + \frac{25}{2} + \frac{63}{8} + \frac{16 \cdot 4}{4} + \frac{3}{4} + 10 \frac{3}{8} + 10 \frac{1}{2} + 13 \frac{1}{8}$

Step 4.2.3

Combine the numerators over the common denominator.

$\frac{33}{4} + \frac{25}{2} + \frac{63}{8} + \frac{16 \cdot 4 + 3}{4} + 10 \frac{3}{8} + 10 \frac{1}{2} + 13 \frac{1}{8}$

Step 4.2.4

Simplify the numerator.

Tap for more steps...

Step 4.2.4.1

Multiply $16$ by $4$ .

$\frac{33}{4} + \frac{25}{2} + \frac{63}{8} + \frac{64 + 3}{4} + 10 \frac{3}{8} + 10 \frac{1}{2} + 13 \frac{1}{8}$

Step 4.2.4.2

Add $64$ and $3$ .

$\frac{33}{4} + \frac{25}{2} + \frac{63}{8} + \frac{67}{4} + 10 \frac{3}{8} + 10 \frac{1}{2} + 13 \frac{1}{8}$

Step 5

Convert $10 \frac{3}{8}$ to an improper fraction.

Tap for more steps...

Step 5.1

A mixed number is an addition of its whole and fractional parts.

$\frac{33}{4} + \frac{25}{2} + \frac{63}{8} + \frac{67}{4} + 10 + \frac{3}{8} + 10 \frac{1}{2} + 13 \frac{1}{8}$

Step 5.2

Add $10$ and $\frac{3}{8}$ .

Tap for more steps...

Step 5.2.1

To write $10$ as a fraction with a common denominator, multiply by $\frac{8}{8}$ .

$\frac{33}{4} + \frac{25}{2} + \frac{63}{8} + \frac{67}{4} + 10 \cdot \frac{8}{8} + \frac{3}{8} + 10 \frac{1}{2} + 13 \frac{1}{8}$

Step 5.2.2

Combine $10$ and $\frac{8}{8}$ .

$\frac{33}{4} + \frac{25}{2} + \frac{63}{8} + \frac{67}{4} + \frac{10 \cdot 8}{8} + \frac{3}{8} + 10 \frac{1}{2} + 13 \frac{1}{8}$

Step 5.2.3

Combine the numerators over the common denominator.

$\frac{33}{4} + \frac{25}{2} + \frac{63}{8} + \frac{67}{4} + \frac{10 \cdot 8 + 3}{8} + 10 \frac{1}{2} + 13 \frac{1}{8}$

Step 5.2.4

Simplify the numerator.

Tap for more steps...

Step 5.2.4.1

Multiply $10$ by $8$ .

$\frac{33}{4} + \frac{25}{2} + \frac{63}{8} + \frac{67}{4} + \frac{80 + 3}{8} + 10 \frac{1}{2} + 13 \frac{1}{8}$

Step 5.2.4.2

Add $80$ and $3$ .

$\frac{33}{4} + \frac{25}{2} + \frac{63}{8} + \frac{67}{4} + \frac{83}{8} + 10 \frac{1}{2} + 13 \frac{1}{8}$

Step 6

Convert $10 \frac{1}{2}$ to an improper fraction.

Tap for more steps...

Step 6.1

A mixed number is an addition of its whole and fractional parts.

$\frac{33}{4} + \frac{25}{2} + \frac{63}{8} + \frac{67}{4} + \frac{83}{8} + 10 + \frac{1}{2} + 13 \frac{1}{8}$

Step 6.2

Add $10$ and $\frac{1}{2}$ .

Tap for more steps...

Step 6.2.1

To write $10$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$\frac{33}{4} + \frac{25}{2} + \frac{63}{8} + \frac{67}{4} + \frac{83}{8} + 10 \cdot \frac{2}{2} + \frac{1}{2} + 13 \frac{1}{8}$

Step 6.2.2

Combine $10$ and $\frac{2}{2}$ .

$\frac{33}{4} + \frac{25}{2} + \frac{63}{8} + \frac{67}{4} + \frac{83}{8} + \frac{10 \cdot 2}{2} + \frac{1}{2} + 13 \frac{1}{8}$

Step 6.2.3

Combine the numerators over the common denominator.

$\frac{33}{4} + \frac{25}{2} + \frac{63}{8} + \frac{67}{4} + \frac{83}{8} + \frac{10 \cdot 2 + 1}{2} + 13 \frac{1}{8}$

Step 6.2.4

Simplify the numerator.

Tap for more steps...

Step 6.2.4.1

Multiply $10$ by $2$ .

$\frac{33}{4} + \frac{25}{2} + \frac{63}{8} + \frac{67}{4} + \frac{83}{8} + \frac{20 + 1}{2} + 13 \frac{1}{8}$

Step 6.2.4.2

Add $20$ and $1$ .

$\frac{33}{4} + \frac{25}{2} + \frac{63}{8} + \frac{67}{4} + \frac{83}{8} + \frac{21}{2} + 13 \frac{1}{8}$

Step 7

Convert $13 \frac{1}{8}$ to an improper fraction.

Tap for more steps...

Step 7.1

A mixed number is an addition of its whole and fractional parts.

$\frac{33}{4} + \frac{25}{2} + \frac{63}{8} + \frac{67}{4} + \frac{83}{8} + \frac{21}{2} + 13 + \frac{1}{8}$

Step 7.2

Add $13$ and $\frac{1}{8}$ .

Tap for more steps...

Step 7.2.1

To write $13$ as a fraction with a common denominator, multiply by $\frac{8}{8}$ .

$\frac{33}{4} + \frac{25}{2} + \frac{63}{8} + \frac{67}{4} + \frac{83}{8} + \frac{21}{2} + 13 \cdot \frac{8}{8} + \frac{1}{8}$

Step 7.2.2

Combine $13$ and $\frac{8}{8}$ .

$\frac{33}{4} + \frac{25}{2} + \frac{63}{8} + \frac{67}{4} + \frac{83}{8} + \frac{21}{2} + \frac{13 \cdot 8}{8} + \frac{1}{8}$

Step 7.2.3

Combine the numerators over the common denominator.

$\frac{33}{4} + \frac{25}{2} + \frac{63}{8} + \frac{67}{4} + \frac{83}{8} + \frac{21}{2} + \frac{13 \cdot 8 + 1}{8}$

Step 7.2.4

Simplify the numerator.

Tap for more steps...

Step 7.2.4.1

Multiply $13$ by $8$ .

$\frac{33}{4} + \frac{25}{2} + \frac{63}{8} + \frac{67}{4} + \frac{83}{8} + \frac{21}{2} + \frac{104 + 1}{8}$

Step 7.2.4.2

Add $104$ and $1$ .

$\frac{33}{4} + \frac{25}{2} + \frac{63}{8} + \frac{67}{4} + \frac{83}{8} + \frac{21}{2} + \frac{105}{8}$

Step 8

Combine the numerators over the common denominator.

$\frac{33 + 67}{4} + \frac{25 + 21}{2} + \frac{63 + 83 + 105}{8}$

Step 9

Simplify by adding numbers.

Tap for more steps...

Step 9.1

Add $33$ and $67$ .

$\frac{100}{4} + \frac{25 + 21}{2} + \frac{63 + 83 + 105}{8}$

Step 9.2

Add $25$ and $21$ .

$\frac{100}{4} + \frac{46}{2} + \frac{63 + 83 + 105}{8}$

Step 9.3

Add $63$ and $83$ .

$\frac{100}{4} + \frac{46}{2} + \frac{146 + 105}{8}$

Step 9.4

Add $146$ and $105$ .

$\frac{100}{4} + \frac{46}{2} + \frac{251}{8}$

Step 10

Find the common denominator.

Tap for more steps...

Step 10.1

Multiply $\frac{100}{4}$ by $\frac{2}{2}$ .

$\frac{100}{4} \cdot \frac{2}{2} + \frac{46}{2} + \frac{251}{8}$

Step 10.2

Multiply $\frac{100}{4}$ by $\frac{2}{2}$ .

$\frac{100 \cdot 2}{4 \cdot 2} + \frac{46}{2} + \frac{251}{8}$

Step 10.3

Multiply $\frac{46}{2}$ by $\frac{4}{4}$ .

$\frac{100 \cdot 2}{4 \cdot 2} + \frac{46}{2} \cdot \frac{4}{4} + \frac{251}{8}$

Step 10.4

Multiply $\frac{46}{2}$ by $\frac{4}{4}$ .

$\frac{100 \cdot 2}{4 \cdot 2} + \frac{46 \cdot 4}{2 \cdot 4} + \frac{251}{8}$

Step 10.5

Reorder the factors of $4 \cdot 2$ .

$\frac{100 \cdot 2}{2 \cdot 4} + \frac{46 \cdot 4}{2 \cdot 4} + \frac{251}{8}$

Step 10.6

Multiply $2$ by $4$ .

$\frac{100 \cdot 2}{8} + \frac{46 \cdot 4}{2 \cdot 4} + \frac{251}{8}$

Step 10.7

Multiply $2$ by $4$ .

$\frac{100 \cdot 2}{8} + \frac{46 \cdot 4}{8} + \frac{251}{8}$

Step 11

Combine the numerators over the common denominator.

$\frac{100 \cdot 2 + 46 \cdot 4 + 251}{8}$

Step 12

Simplify each term.

Tap for more steps...

Step 12.1

Multiply $100$ by $2$ .

$\frac{200 + 46 \cdot 4 + 251}{8}$

Step 12.2

Multiply $46$ by $4$ .

$\frac{200 + 184 + 251}{8}$

Step 13

Simplify by adding numbers.

Tap for more steps...

Step 13.1

Add $200$ and $184$ .

$\frac{384 + 251}{8}$

Step 13.2

Add $384$ and $251$ .

$\frac{635}{8}$

Step 14

The result can be shown in multiple forms.

Exact Form:

$\frac{635}{8}$

Decimal Form:

$79.375$

Mixed Number Form:

$79 \frac{3}{8}$