Write the Fraction in Simplest Form (6/7)÷1 2/5

$\frac{6}{7} \div 1 \frac{2}{5}$

Step 1

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

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

$\frac{6}{7} \div (1 + \frac{2}{5})$

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

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

$\frac{6}{7} \div (\frac{5}{5} + \frac{2}{5})$

Combine the numerators over the common denominator.

$\frac{6}{7} \div \frac{5 + 2}{5}$

Add $5$ and $2$ .

$\frac{6}{7} \div \frac{7}{5}$

Step 2

To divide by a fraction, multiply by its reciprocal.

$\frac{6}{7} \cdot \frac{5}{7}$

Step 3

Multiply $\frac{6}{7} \cdot \frac{5}{7}$ .

Multiply $\frac{6}{7}$ by $\frac{5}{7}$ .

$\frac{6 \cdot 5}{7 \cdot 7}$

Multiply $6$ by $5$ .

$\frac{30}{7 \cdot 7}$

Multiply $7$ by $7$ .

$\frac{30}{49}$