Basic Math Examples

$\frac{7}{1} \div 1 \frac{2}{5}$

Step 1

Convert $1 \frac{2}{5}$ to an improper fraction.

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Step 1.1

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

$\frac{7}{1} \div (1 + \frac{2}{5})$

Step 1.2

Add $1$ and $\frac{2}{5}$ .

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Step 1.2.1

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

$\frac{7}{1} \div (\frac{5}{5} + \frac{2}{5})$

Step 1.2.2

Combine the numerators over the common denominator.

$\frac{7}{1} \div \frac{5 + 2}{5}$

Step 1.2.3

Add $5$ and $2$ .

$\frac{7}{1} \div \frac{7}{5}$

Step 2

To divide by a fraction, multiply by its reciprocal.

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

Step 3

Cancel the common factor of $7$ .

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Step 3.1

Cancel the common factor.

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

Step 3.2

Rewrite the expression.

$5$