Write the Fraction in Simplest Form 9÷4 2/7

$9 \div 4 \frac{2}{7}$

Step 1

Convert $4 \frac{2}{7}$ to an improper fraction.

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

$9 \div (4 + \frac{2}{7})$

Add $4$ and $\frac{2}{7}$ .

To write $4$ as a fraction with a common denominator, multiply by $\frac{7}{7}$ .

$9 \div (4 \cdot \frac{7}{7} + \frac{2}{7})$

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

$9 \div (\frac{4 \cdot 7}{7} + \frac{2}{7})$

Combine the numerators over the common denominator.

$9 \div \frac{4 \cdot 7 + 2}{7}$

Simplify the numerator.

Multiply $4$ by $7$ .

$9 \div \frac{28 + 2}{7}$

Add $28$ and $2$ .

$9 \div \frac{30}{7}$

Step 2

To divide by a fraction, multiply by its reciprocal.

$9 (\frac{7}{30})$

Step 3

Cancel the common factor of $3$ .

Factor $3$ out of $9$ .

$3 (3) \frac{7}{30}$

Factor $3$ out of $30$ .

$3 \cdot 3 \frac{7}{3 \cdot 10}$

Cancel the common factor.

$3 \cdot 3 \frac{7}{3 \cdot 10}$

Rewrite the expression.

$3 (\frac{7}{10})$

Step 4

Combine $3$ and $\frac{7}{10}$ .

$\frac{3 \cdot 7}{10}$

Step 5

Multiply $3$ by $7$ .

$\frac{21}{10}$