Find the Reciprocal (5/7)÷(5/6)

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

Step 1

To find the reciprocal, divide $1$ by the number given.

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

Step 2

Simplify.

Multiply the numerator by the reciprocal of the denominator.

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

Multiply $\frac{\frac{5}{6}}{\frac{5}{7}}$ by $1$ .

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

Multiply the numerator by the reciprocal of the denominator.

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

Cancel the common factor of $5$ .

Cancel the common factor.

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

Rewrite the expression.

$\frac{1}{6} \cdot 7$

Combine $\frac{1}{6}$ and $7$ .

$\frac{7}{6}$