Simplify (-5/7)(-21/10)

$(- \frac{5}{7}) (- \frac{21}{10})$

Step 1

Cancel the common factor of $5$ .

Move the leading negative in $- \frac{5}{7}$ into the numerator.

$\frac{- 5}{7} (- \frac{21}{10})$

Move the leading negative in $- \frac{21}{10}$ into the numerator.

$\frac{- 5}{7} \cdot \frac{- 21}{10}$

Factor $5$ out of $- 5$ .

$\frac{5 (- 1)}{7} \cdot \frac{- 21}{10}$

Factor $5$ out of $10$ .

$\frac{5 \cdot - 1}{7} \cdot \frac{- 21}{5 \cdot 2}$

Cancel the common factor.

$\frac{5 \cdot - 1}{7} \cdot \frac{- 21}{5 \cdot 2}$

Rewrite the expression.

$\frac{- 1}{7} \cdot \frac{- 21}{2}$

Step 2

Cancel the common factor of $7$ .

Factor $7$ out of $- 21$ .

$\frac{- 1}{7} \cdot \frac{7 (- 3)}{2}$

Cancel the common factor.

$\frac{- 1}{7} \cdot \frac{7 \cdot - 3}{2}$

Rewrite the expression.

$- 1 (\frac{- 3}{2})$

Step 3

Move the negative in front of the fraction.

$- 1 (- \frac{3}{2})$

Step 4

Multiply $- 1 (- \frac{3}{2})$ .

Multiply $- 1$ by $- 1$ .

$1 (\frac{3}{2})$

Multiply $\frac{3}{2}$ by $1$ .

$\frac{3}{2}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{3}{2}$

Decimal Form:

$1.5$

Mixed Number Form:

$1 \frac{1}{2}$