What is 27/74 Divided By 3/8

Solving $\frac{27}{74}\div\frac{3}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{27}{74} \div \frac{3}{8} = \frac{27}{74} \times \frac{8}{3}$

• Multiply the Numerators: $27 \times 8 = 216$
• Multiply the Denominators: $74 \times 3 = 222$
• Form the New Fraction: $\frac{27}{74} \times \frac{3}{8} = \frac{216}{222}$

Let's Simplify $\frac{216}{222}$

• Find the Greatest Common Divisor (GCD) of $216$ and $222$. The GCD of $216$ and $222$ is $6$.
• Divide both the numerator and the denominator by the GCD:$\frac{216 \div 6}{222 \div 6} = \frac{36}{37}$

Answer $\frac{27}{74}\div\frac{3}{8} = \frac{36}{37}$

The following animation demonstrates the divide-by,