What is 35/52 Divided By 7/8

Solving $\frac{35}{52}\div\frac{7}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{35}{52} \div \frac{7}{8} = \frac{35}{52} \times \frac{8}{7}$

• Multiply the Numerators: $35 \times 8 = 280$
• Multiply the Denominators: $52 \times 7 = 364$
• Form the New Fraction: $\frac{35}{52} \times \frac{7}{8} = \frac{280}{364}$

Let's Simplify $\frac{280}{364}$

• Find the Greatest Common Divisor (GCD) of $280$ and $364$. The GCD of $280$ and $364$ is $28$.
• Divide both the numerator and the denominator by the GCD:$\frac{280 \div 28}{364 \div 28} = \frac{10}{13}$

Answer $\frac{35}{52}\div\frac{7}{8} = \frac{10}{13}$

The following animation demonstrates the divide-by,