Basic Math Examples

$- \frac{7}{16} + \frac{3}{4} - (\frac{9}{8}) - \frac{13}{32}$

Step 1

Find the common denominator.

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Step 1.1

Multiply $\frac{7}{16}$ by $\frac{2}{2}$ .

$- (\frac{7}{16} \cdot \frac{2}{2}) + \frac{3}{4} - (\frac{9}{8}) - \frac{13}{32}$

Step 1.2

Multiply $\frac{7}{16}$ by $\frac{2}{2}$ .

$- \frac{7 \cdot 2}{16 \cdot 2} + \frac{3}{4} - (\frac{9}{8}) - \frac{13}{32}$

Step 1.3

Multiply $\frac{3}{4}$ by $\frac{8}{8}$ .

$- \frac{7 \cdot 2}{16 \cdot 2} + \frac{3}{4} \cdot \frac{8}{8} - (\frac{9}{8}) - \frac{13}{32}$

Step 1.4

Multiply $\frac{3}{4}$ by $\frac{8}{8}$ .

$- \frac{7 \cdot 2}{16 \cdot 2} + \frac{3 \cdot 8}{4 \cdot 8} - (\frac{9}{8}) - \frac{13}{32}$

Step 1.5

Multiply $\frac{9}{8}$ by $\frac{4}{4}$ .

$- \frac{7 \cdot 2}{16 \cdot 2} + \frac{3 \cdot 8}{4 \cdot 8} - (\frac{9}{8} \cdot \frac{4}{4}) - \frac{13}{32}$

Step 1.6

Multiply $\frac{9}{8}$ by $\frac{4}{4}$ .

$- \frac{7 \cdot 2}{16 \cdot 2} + \frac{3 \cdot 8}{4 \cdot 8} - \frac{9 \cdot 4}{8 \cdot 4} - \frac{13}{32}$

Step 1.7

Reorder the factors of $16 \cdot 2$ .

$- \frac{7 \cdot 2}{2 \cdot 16} + \frac{3 \cdot 8}{4 \cdot 8} - \frac{9 \cdot 4}{8 \cdot 4} - \frac{13}{32}$

Step 1.8

Multiply $2$ by $16$ .

$- \frac{7 \cdot 2}{32} + \frac{3 \cdot 8}{4 \cdot 8} - \frac{9 \cdot 4}{8 \cdot 4} - \frac{13}{32}$

Step 1.9

Multiply $4$ by $8$ .

$- \frac{7 \cdot 2}{32} + \frac{3 \cdot 8}{32} - \frac{9 \cdot 4}{8 \cdot 4} - \frac{13}{32}$

Step 1.10

Reorder the factors of $8 \cdot 4$ .

$- \frac{7 \cdot 2}{32} + \frac{3 \cdot 8}{32} - \frac{9 \cdot 4}{4 \cdot 8} - \frac{13}{32}$

Step 1.11

Multiply $4$ by $8$ .

$- \frac{7 \cdot 2}{32} + \frac{3 \cdot 8}{32} - \frac{9 \cdot 4}{32} - \frac{13}{32}$

Step 2

Combine the numerators over the common denominator.

$\frac{- 7 \cdot 2 + 3 \cdot 8 - 9 \cdot 4 - 13}{32}$

Step 3

Simplify each term.

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Step 3.1

Multiply $- 7$ by $2$ .

$\frac{- 14 + 3 \cdot 8 - 9 \cdot 4 - 13}{32}$

Step 3.2

Multiply $3$ by $8$ .

$\frac{- 14 + 24 - 9 \cdot 4 - 13}{32}$

Step 3.3

Multiply $- 9$ by $4$ .

$\frac{- 14 + 24 - 36 - 13}{32}$

Step 4

Simplify the expression.

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Step 4.1

Add $- 14$ and $24$ .

$\frac{10 - 36 - 13}{32}$

Step 4.2

Subtract $36$ from $10$ .

$\frac{- 26 - 13}{32}$

Step 4.3

Subtract $13$ from $- 26$ .

$\frac{- 39}{32}$

Step 4.4

Move the negative in front of the fraction.

$- \frac{39}{32}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$- \frac{39}{32}$

Decimal Form:

$- 1.21875$

Mixed Number Form:

$- 1 \frac{7}{32}$