What is 27/74 Divided By 9/8

Solving $\frac{27}{74}\div\frac{9}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{27}{74} \div \frac{9}{8} = \frac{27}{74} \times \frac{8}{9}$

• Multiply the Numerators: $27 \times 8 = 216$
• Multiply the Denominators: $74 \times 9 = 666$
• Form the New Fraction: $\frac{27}{74} \times \frac{9}{8} = \frac{216}{666}$

Let's Simplify $\frac{216}{666}$

• Find the Greatest Common Divisor (GCD) of $216$ and $666$. The GCD of $216$ and $666$ is $18$.
• Divide both the numerator and the denominator by the GCD:$\frac{216 \div 18}{666 \div 18} = \frac{12}{37}$

Answer $\frac{27}{74}\div\frac{9}{8} = \frac{12}{37}$

The following animation demonstrates the divide-by,