Basic Math Examples

$- \frac{14}{25} \cdot (- 1 \frac{3}{7})$

Step 1

Convert $1 \frac{3}{7}$ to an improper fraction.

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Step 1.1

A mixed number is an addition of its whole and fractional parts.

$- \frac{14}{25} \cdot (- (1 + \frac{3}{7}))$

Step 1.2

Add $1$ and $\frac{3}{7}$ .

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Step 1.2.1

Write $1$ as a fraction with a common denominator.

$- \frac{14}{25} \cdot (- (\frac{7}{7} + \frac{3}{7}))$

Step 1.2.2

Combine the numerators over the common denominator.

$- \frac{14}{25} \cdot (- \frac{7 + 3}{7})$

Step 1.2.3

Add $7$ and $3$ .

$- \frac{14}{25} \cdot (- \frac{10}{7})$

Step 2

Cancel the common factor of $7$ .

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Step 2.1

Move the leading negative in $- \frac{14}{25}$ into the numerator.

$\frac{- 14}{25} \cdot (- \frac{10}{7})$

Step 2.2

Move the leading negative in $- \frac{10}{7}$ into the numerator.

$\frac{- 14}{25} \cdot \frac{- 10}{7}$

Step 2.3

Factor $7$ out of $- 14$ .

$\frac{7 (- 2)}{25} \cdot \frac{- 10}{7}$

Step 2.4

Cancel the common factor.

$\frac{7 \cdot - 2}{25} \cdot \frac{- 10}{7}$

Step 2.5

Rewrite the expression.

$\frac{- 2}{25} \cdot - 10$

Step 3

Cancel the common factor of $5$ .

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Step 3.1

Factor $5$ out of $25$ .

$\frac{- 2}{5 (5)} \cdot - 10$

Step 3.2

Factor $5$ out of $- 10$ .

$\frac{- 2}{5 \cdot 5} \cdot (5 \cdot - 2)$

Step 3.3

Cancel the common factor.

$\frac{- 2}{5 \cdot 5} \cdot (5 \cdot - 2)$

Step 3.4

Rewrite the expression.

$\frac{- 2}{5} \cdot - 2$

Step 4

Combine $\frac{- 2}{5}$ and $- 2$ .

$\frac{- 2 \cdot - 2}{5}$

Step 5

Multiply $- 2$ by $- 2$ .

$\frac{4}{5}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{4}{5}$

Decimal Form:

$0.8$