Basic Math Examples

$- \frac{7}{10} \div \frac{2}{5}$

Step 1

To divide by a fraction, multiply by its reciprocal.

$- \frac{7}{10} \cdot \frac{5}{2}$

Step 2

Cancel the common factor of $5$ .

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Step 2.1

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

$\frac{- 7}{10} \cdot \frac{5}{2}$

Step 2.2

Factor $5$ out of $10$ .

$\frac{- 7}{5 (2)} \cdot \frac{5}{2}$

Step 2.3

Cancel the common factor.

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

Step 2.4

Rewrite the expression.

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

Step 3

Multiply $\frac{- 7}{2}$ by $\frac{1}{2}$ .

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

Step 4

Simplify the expression.

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Step 4.1

Multiply $2$ by $2$ .

$\frac{- 7}{4}$

Step 4.2

Move the negative in front of the fraction.

$- \frac{7}{4}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$- \frac{7}{4}$

Decimal Form:

$- 1.75$

Mixed Number Form:

$- 1 \frac{3}{4}$