What is 27/85 Divided By 3/8

Solving $\frac{27}{85}\div\frac{3}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{27}{85} \div \frac{3}{8} = \frac{27}{85} \times \frac{8}{3}$

• Multiply the Numerators: $27 \times 8 = 216$
• Multiply the Denominators: $85 \times 3 = 255$
• Form the New Fraction: $\frac{27}{85} \times \frac{3}{8} = \frac{216}{255}$

Let's Simplify $\frac{216}{255}$

• Find the Greatest Common Divisor (GCD) of $216$ and $255$. The GCD of $216$ and $255$ is $3$.
• Divide both the numerator and the denominator by the GCD:$\frac{216 \div 3}{255 \div 3} = \frac{72}{85}$

Answer $\frac{27}{85}\div\frac{3}{8} = \frac{72}{85}$

The following animation demonstrates the divide-by,