What is 52/70 Divided By 7/8

Solving $\frac{52}{70}\div\frac{7}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{52}{70} \div \frac{7}{8} = \frac{52}{70} \times \frac{8}{7}$

• Multiply the Numerators: $52 \times 8 = 416$
• Multiply the Denominators: $70 \times 7 = 490$
• Form the New Fraction: $\frac{52}{70} \times \frac{7}{8} = \frac{416}{490}$

Let's Simplify $\frac{416}{490}$

• Find the Greatest Common Divisor (GCD) of $416$ and $490$. The GCD of $416$ and $490$ is $2$.
• Divide both the numerator and the denominator by the GCD:$\frac{416 \div 2}{490 \div 2} = \frac{208}{245}$

Answer $\frac{52}{70}\div\frac{7}{8} = \frac{208}{245}$

The following animation demonstrates the divide-by,