Basic Math Examples

$\frac{5}{7} \div 1 \frac{1}{4}$

Step 1

Convert $1 \frac{1}{4}$ to an improper fraction.

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Step 1.1

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

$\frac{5}{7} \div (1 + \frac{1}{4})$

Step 1.2

Add $1$ and $\frac{1}{4}$ .

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Step 1.2.1

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

$\frac{5}{7} \div (\frac{4}{4} + \frac{1}{4})$

Step 1.2.2

Combine the numerators over the common denominator.

$\frac{5}{7} \div \frac{4 + 1}{4}$

Step 1.2.3

Add $4$ and $1$ .

$\frac{5}{7} \div \frac{5}{4}$

Step 2

To divide by a fraction, multiply by its reciprocal.

$\frac{5}{7} \cdot \frac{4}{5}$

Step 3

Cancel the common factor of $5$ .

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Step 3.1

Cancel the common factor.

$\frac{5}{7} \cdot \frac{4}{5}$

Step 3.2

Rewrite the expression.

$\frac{1}{7} \cdot 4$

Step 4

Combine $\frac{1}{7}$ and $4$ .

$\frac{4}{7}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{4}{7}$

Decimal Form:

$0.\overline{571428}$