What is 27/42 Divided By 6/8

Solving $\frac{27}{42}\div\frac{6}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{27}{42} \div \frac{6}{8} = \frac{27}{42} \times \frac{8}{6}$

• Multiply the Numerators: $27 \times 8 = 216$
• Multiply the Denominators: $42 \times 6 = 252$
• Form the New Fraction: $\frac{27}{42} \times \frac{6}{8} = \frac{216}{252}$

Let's Simplify $\frac{216}{252}$

• Find the Greatest Common Divisor (GCD) of $216$ and $252$. The GCD of $216$ and $252$ is $36$.
• Divide both the numerator and the denominator by the GCD:$\frac{216 \div 36}{252 \div 36} = \frac{6}{7}$

Answer $\frac{27}{42}\div\frac{6}{8} = \frac{6}{7}$

The following animation demonstrates the divide-by,