What is 75/74 Divided By 9/6

Solving $\frac{75}{74}\div\frac{9}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{75}{74} \div \frac{9}{6} = \frac{75}{74} \times \frac{6}{9}$

• Multiply the Numerators: $75 \times 6 = 450$
• Multiply the Denominators: $74 \times 9 = 666$
• Form the New Fraction: $\frac{75}{74} \times \frac{9}{6} = \frac{450}{666}$

Let's Simplify $\frac{450}{666}$

• Find the Greatest Common Divisor (GCD) of $450$ and $666$. The GCD of $450$ and $666$ is $18$.
• Divide both the numerator and the denominator by the GCD:$\frac{450 \div 18}{666 \div 18} = \frac{25}{37}$

Answer $\frac{75}{74}\div\frac{9}{6} = \frac{25}{37}$

The following animation demonstrates the divide-by,