What is 27/72 Divided By 8/3

Solving $\frac{27}{72}\div\frac{8}{3}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{27}{72} \div \frac{8}{3} = \frac{27}{72} \times \frac{3}{8}$

• Multiply the Numerators: $27 \times 3 = 81$
• Multiply the Denominators: $72 \times 8 = 576$
• Form the New Fraction: $\frac{27}{72} \times \frac{8}{3} = \frac{81}{576}$

Let's Simplify $\frac{81}{576}$

• Find the Greatest Common Divisor (GCD) of $81$ and $576$. The GCD of $81$ and $576$ is $9$.
• Divide both the numerator and the denominator by the GCD:$\frac{81 \div 9}{576 \div 9} = \frac{9}{64}$

Answer $\frac{27}{72}\div\frac{8}{3} = \frac{9}{64}$

The following animation demonstrates the divide-by,