Basic Math Examples

$\frac{5}{7} \div 2 \frac{3}{4}$

Step 1

Convert $2 \frac{3}{4}$ to an improper fraction.

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Step 1.1

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

$\frac{5}{7} \div (2 + \frac{3}{4})$

Step 1.2

Add $2$ and $\frac{3}{4}$ .

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Step 1.2.1

To write $2$ as a fraction with a common denominator, multiply by $\frac{4}{4}$ .

$\frac{5}{7} \div (2 \cdot \frac{4}{4} + \frac{3}{4})$

Step 1.2.2

Combine $2$ and $\frac{4}{4}$ .

$\frac{5}{7} \div (\frac{2 \cdot 4}{4} + \frac{3}{4})$

Step 1.2.3

Combine the numerators over the common denominator.

$\frac{5}{7} \div \frac{2 \cdot 4 + 3}{4}$

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply $2$ by $4$ .

$\frac{5}{7} \div \frac{8 + 3}{4}$

Step 1.2.4.2

Add $8$ and $3$ .

$\frac{5}{7} \div \frac{11}{4}$

Step 2

To divide by a fraction, multiply by its reciprocal.

$\frac{5}{7} \cdot \frac{4}{11}$

Step 3

Multiply $\frac{5}{7} \cdot \frac{4}{11}$ .

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Step 3.1

Multiply $\frac{5}{7}$ by $\frac{4}{11}$ .

$\frac{5 \cdot 4}{7 \cdot 11}$

Step 3.2

Multiply $5$ by $4$ .

$\frac{20}{7 \cdot 11}$

Step 3.3

Multiply $7$ by $11$ .

$\frac{20}{77}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{20}{77}$

Decimal Form:

$0.\overline{259740}$