What is 54/74 Divided By 9/4

Solving $\frac{54}{74}\div\frac{9}{4}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{54}{74} \div \frac{9}{4} = \frac{54}{74} \times \frac{4}{9}$

• Multiply the Numerators: $54 \times 4 = 216$
• Multiply the Denominators: $74 \times 9 = 666$
• Form the New Fraction: $\frac{54}{74} \times \frac{9}{4} = \frac{216}{666}$

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 $\frac{54}{74}\div\frac{9}{4} = \frac{12}{37}$

The following animation demonstrates the divide-by,