Basic Math Examples

$37 - 32 \cdot \frac{5}{9}$

Step 1

Simplify each term.

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Step 1.1

Multiply

$- 32 (\frac{5}{9})$ .

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Step 1.1.1

Combine

$- 32$ and

$\frac{5}{9}$ .

$37 + \frac{- 32 \cdot 5}{9}$

Step 1.1.2

Multiply

$- 32$ by

$5$ .

$37 + \frac{- 160}{9}$

Step 1.2

Move the negative in front of the fraction.

$37 - \frac{160}{9}$

Step 2

To write

$37$ as a fraction with a common denominator, multiply by

$\frac{9}{9}$ .

$37 \cdot \frac{9}{9} - \frac{160}{9}$

Step 3

Combine

$37$ and

$\frac{9}{9}$ .

$\frac{37 \cdot 9}{9} - \frac{160}{9}$

Step 4

Combine the numerators over the common denominator.

$\frac{37 \cdot 9 - 160}{9}$

Step 5

Simplify the numerator.

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Step 5.1

Multiply

$37$ by

$9$ .

$\frac{333 - 160}{9}$

Step 5.2

Subtract

$160$ from

$333$ .

$\frac{173}{9}$