What is 27/72 Divided By 8/6

Solving $\frac{27}{72}\div\frac{8}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{27}{72} \div \frac{8}{6} = \frac{27}{72} \times \frac{6}{8}$

• Multiply the Numerators: $27 \times 6 = 162$
• Multiply the Denominators: $72 \times 8 = 576$
• Form the New Fraction: $\frac{27}{72} \times \frac{8}{6} = \frac{162}{576}$

Let's Simplify $\frac{162}{576}$

• Find the Greatest Common Divisor (GCD) of $162$ and $576$. The GCD of $162$ and $576$ is $18$.
• Divide both the numerator and the denominator by the GCD:$\frac{162 \div 18}{576 \div 18} = \frac{9}{32}$

Answer $\frac{27}{72}\div\frac{8}{6} = \frac{9}{32}$

The following animation demonstrates the divide-by,