Basic Math Examples

$- \frac{7 y}{15} \cdot \frac{3}{5 y}$

Step 1

Cancel the common factor of $y$ .

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Step 1.1

Move the leading negative in $- \frac{7 y}{15}$ into the numerator.

$\frac{- 7 y}{15} \cdot \frac{3}{5 y}$

Step 1.2

Factor $y$ out of $- 7 y$ .

$\frac{y \cdot - 7}{15} \cdot \frac{3}{5 y}$

Step 1.3

Factor $y$ out of $5 y$ .

$\frac{y \cdot - 7}{15} \cdot \frac{3}{y \cdot 5}$

Step 1.4

Cancel the common factor.

$\frac{y \cdot - 7}{15} \cdot \frac{3}{y \cdot 5}$

Step 1.5

Rewrite the expression.

$\frac{- 7}{15} \cdot \frac{3}{5}$

Step 2

Cancel the common factor of $3$ .

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Step 2.1

Factor $3$ out of $15$ .

$\frac{- 7}{3 (5)} \cdot \frac{3}{5}$

Step 2.2

Cancel the common factor.

$\frac{- 7}{3 \cdot 5} \cdot \frac{3}{5}$

Step 2.3

Rewrite the expression.

$\frac{- 7}{5} \cdot \frac{1}{5}$

Step 3

Multiply $\frac{- 7}{5}$ by $\frac{1}{5}$ .

$\frac{- 7}{5 \cdot 5}$

Step 4

Simplify the expression.

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Step 4.1

Multiply $5$ by $5$ .

$\frac{- 7}{25}$

Step 4.2

Move the negative in front of the fraction.

$- \frac{7}{25}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$- \frac{7}{25}$

Decimal Form:

$- 0.28$