What is 27/75 Divided By 7/8

Solving $\frac{27}{75}\div\frac{7}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{27}{75} \div \frac{7}{8} = \frac{27}{75} \times \frac{8}{7}$

• Multiply the Numerators: $27 \times 8 = 216$
• Multiply the Denominators: $75 \times 7 = 525$
• Form the New Fraction: $\frac{27}{75} \times \frac{7}{8} = \frac{216}{525}$

Let's Simplify $\frac{216}{525}$

• Find the Greatest Common Divisor (GCD) of $216$ and $525$. The GCD of $216$ and $525$ is $3$.
• Divide both the numerator and the denominator by the GCD:$\frac{216 \div 3}{525 \div 3} = \frac{72}{175}$

Answer $\frac{27}{75}\div\frac{7}{8} = \frac{72}{175}$

The following animation demonstrates the divide-by,