Finite Math Examples

$- 50 - \frac{7}{8} + 4 - \frac{2}{9}$

Step 1

Find the common denominator.

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Step 1.1

Write $- 50$ as a fraction with denominator $1$ .

$\frac{- 50}{1} - \frac{7}{8} + 4 - \frac{2}{9}$

Step 1.2

Multiply $\frac{- 50}{1}$ by $\frac{72}{72}$ .

$\frac{- 50}{1} \cdot \frac{72}{72} - \frac{7}{8} + 4 - \frac{2}{9}$

Step 1.3

Multiply $\frac{- 50}{1}$ by $\frac{72}{72}$ .

$\frac{- 50 \cdot 72}{72} - \frac{7}{8} + 4 - \frac{2}{9}$

Step 1.4

Multiply $\frac{7}{8}$ by $\frac{9}{9}$ .

$\frac{- 50 \cdot 72}{72} - (\frac{7}{8} \cdot \frac{9}{9}) + 4 - \frac{2}{9}$

Step 1.5

Multiply $\frac{7}{8}$ by $\frac{9}{9}$ .

$\frac{- 50 \cdot 72}{72} - \frac{7 \cdot 9}{8 \cdot 9} + 4 - \frac{2}{9}$

Step 1.6

Write $4$ as a fraction with denominator $1$ .

$\frac{- 50 \cdot 72}{72} - \frac{7 \cdot 9}{8 \cdot 9} + \frac{4}{1} - \frac{2}{9}$

Step 1.7

Multiply $\frac{4}{1}$ by $\frac{72}{72}$ .

$\frac{- 50 \cdot 72}{72} - \frac{7 \cdot 9}{8 \cdot 9} + \frac{4}{1} \cdot \frac{72}{72} - \frac{2}{9}$

Step 1.8

Multiply $\frac{4}{1}$ by $\frac{72}{72}$ .

$\frac{- 50 \cdot 72}{72} - \frac{7 \cdot 9}{8 \cdot 9} + \frac{4 \cdot 72}{72} - \frac{2}{9}$

Step 1.9

Multiply $\frac{2}{9}$ by $\frac{8}{8}$ .

$\frac{- 50 \cdot 72}{72} - \frac{7 \cdot 9}{8 \cdot 9} + \frac{4 \cdot 72}{72} - (\frac{2}{9} \cdot \frac{8}{8})$

Step 1.10

Multiply $\frac{2}{9}$ by $\frac{8}{8}$ .

$\frac{- 50 \cdot 72}{72} - \frac{7 \cdot 9}{8 \cdot 9} + \frac{4 \cdot 72}{72} - \frac{2 \cdot 8}{9 \cdot 8}$

Step 1.11

Multiply $8$ by $9$ .

$\frac{- 50 \cdot 72}{72} - \frac{7 \cdot 9}{72} + \frac{4 \cdot 72}{72} - \frac{2 \cdot 8}{9 \cdot 8}$

Step 1.12

Reorder the factors of $9 \cdot 8$ .

$\frac{- 50 \cdot 72}{72} - \frac{7 \cdot 9}{72} + \frac{4 \cdot 72}{72} - \frac{2 \cdot 8}{8 \cdot 9}$

Step 1.13

Multiply $8$ by $9$ .

$\frac{- 50 \cdot 72}{72} - \frac{7 \cdot 9}{72} + \frac{4 \cdot 72}{72} - \frac{2 \cdot 8}{72}$

Step 2

Combine the numerators over the common denominator.

$\frac{- 50 \cdot 72 - 7 \cdot 9 + 4 \cdot 72 - 2 \cdot 8}{72}$

Step 3

Simplify each term.

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Step 3.1

Multiply $- 50$ by $72$ .

$\frac{- 3600 - 7 \cdot 9 + 4 \cdot 72 - 2 \cdot 8}{72}$

Step 3.2

Multiply $- 7$ by $9$ .

$\frac{- 3600 - 63 + 4 \cdot 72 - 2 \cdot 8}{72}$

Step 3.3

Multiply $4$ by $72$ .

$\frac{- 3600 - 63 + 288 - 2 \cdot 8}{72}$

Step 3.4

Multiply $- 2$ by $8$ .

$\frac{- 3600 - 63 + 288 - 16}{72}$

Step 4

Simplify the expression.

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Step 4.1

Subtract $63$ from $- 3600$ .

$\frac{- 3663 + 288 - 16}{72}$

Step 4.2

Add $- 3663$ and $288$ .

$\frac{- 3375 - 16}{72}$

Step 4.3

Subtract $16$ from $- 3375$ .

$\frac{- 3391}{72}$

Step 4.4

Move the negative in front of the fraction.

$- \frac{3391}{72}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$- \frac{3391}{72}$

Decimal Form:

$- 47.097\overline{2}$

Mixed Number Form:

$- 47 \frac{7}{72}$