What is 27/52 Divided By 7/8

Solving $\frac{27}{52}\div\frac{7}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{27}{52} \div \frac{7}{8} = \frac{27}{52} \times \frac{8}{7}$

• Multiply the Numerators: $27 \times 8 = 216$
• Multiply the Denominators: $52 \times 7 = 364$
• Form the New Fraction: $\frac{27}{52} \times \frac{7}{8} = \frac{216}{364}$

Let's Simplify $\frac{216}{364}$

• Find the Greatest Common Divisor (GCD) of $216$ and $364$. The GCD of $216$ and $364$ is $4$.
• Divide both the numerator and the denominator by the GCD:$\frac{216 \div 4}{364 \div 4} = \frac{54}{91}$

Answer $\frac{27}{52}\div\frac{7}{8} = \frac{54}{91}$

The following animation demonstrates the divide-by,