What is 27/53 Divided By 3/8

Solving $\frac{27}{53}\div\frac{3}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{27}{53} \div \frac{3}{8} = \frac{27}{53} \times \frac{8}{3}$

• Multiply the Numerators: $27 \times 8 = 216$
• Multiply the Denominators: $53 \times 3 = 159$
• Form the New Fraction: $\frac{27}{53} \times \frac{3}{8} = \frac{216}{159}$

Let's Simplify $\frac{216}{159}$

• Find the Greatest Common Divisor (GCD) of $216$ and $159$. The GCD of $216$ and $159$ is $3$.
• Divide both the numerator and the denominator by the GCD:$\frac{216 \div 3}{159 \div 3} = \frac{72}{53}$

Answer $\frac{27}{53}\div\frac{3}{8} = \frac{72}{53}$

The following animation demonstrates the divide-by,