What is 27/72 Divided By 7/8

Solving $\frac{27}{72}\div\frac{7}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{27}{72} \div \frac{7}{8} = \frac{27}{72} \times \frac{8}{7}$

• Multiply the Numerators: $27 \times 8 = 216$
• Multiply the Denominators: $72 \times 7 = 504$
• Form the New Fraction: $\frac{27}{72} \times \frac{7}{8} = \frac{216}{504}$

Let's Simplify $\frac{216}{504}$

• Find the Greatest Common Divisor (GCD) of $216$ and $504$. The GCD of $216$ and $504$ is $72$.
• Divide both the numerator and the denominator by the GCD:$\frac{216 \div 72}{504 \div 72} = \frac{3}{7}$

Answer $\frac{27}{72}\div\frac{7}{8} = \frac{3}{7}$

The following animation demonstrates the divide-by,