Basic Math Examples

$- \frac{3}{5} \cdot (\frac{5}{3} y)$

Step 1

Combine $\frac{5}{3}$ and $y$ .

$- \frac{3}{5} \cdot \frac{5 y}{3}$

Step 2

Cancel the common factor of $3$ .

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Step 2.1

Move the leading negative in $- \frac{3}{5}$ into the numerator.

$\frac{- 3}{5} \cdot \frac{5 y}{3}$

Step 2.2

Factor $3$ out of $- 3$ .

$\frac{3 (- 1)}{5} \cdot \frac{5 y}{3}$

Step 2.3

Cancel the common factor.

$\frac{3 \cdot - 1}{5} \cdot \frac{5 y}{3}$

Step 2.4

Rewrite the expression.

$\frac{- 1}{5} \cdot (5 y)$

Step 3

Cancel the common factor of $5$ .

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Step 3.1

Factor $5$ out of $5 y$ .

$\frac{- 1}{5} \cdot (5 (y))$

Step 3.2

Cancel the common factor.

$\frac{- 1}{5} \cdot (5 y)$

Step 3.3

Rewrite the expression.

$- 1 \cdot y$

Step 4

Rewrite $- 1 y$ as $- y$ .

$- y$