What is 27/75 Divided By 6/8

Solving $\frac{27}{75}\div\frac{6}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{27}{75} \div \frac{6}{8} = \frac{27}{75} \times \frac{8}{6}$

• Multiply the Numerators: $27 \times 8 = 216$
• Multiply the Denominators: $75 \times 6 = 450$
• Form the New Fraction: $\frac{27}{75} \times \frac{6}{8} = \frac{216}{450}$

Let's Simplify $\frac{216}{450}$

• Find the Greatest Common Divisor (GCD) of $216$ and $450$. The GCD of $216$ and $450$ is $18$.
• Divide both the numerator and the denominator by the GCD:$\frac{216 \div 18}{450 \div 18} = \frac{12}{25}$

Answer $\frac{27}{75}\div\frac{6}{8} = \frac{12}{25}$

The following animation demonstrates the divide-by,