What is 74/76 Divided By 9/6

Solving $\frac{74}{76}\div\frac{9}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{74}{76} \div \frac{9}{6} = \frac{74}{76} \times \frac{6}{9}$

• Multiply the Numerators: $74 \times 6 = 444$
• Multiply the Denominators: $76 \times 9 = 684$
• Form the New Fraction: $\frac{74}{76} \times \frac{9}{6} = \frac{444}{684}$

Let's Simplify $\frac{444}{684}$

• Find the Greatest Common Divisor (GCD) of $444$ and $684$. The GCD of $444$ and $684$ is $12$.
• Divide both the numerator and the denominator by the GCD:$\frac{444 \div 12}{684 \div 12} = \frac{37}{57}$

Answer $\frac{74}{76}\div\frac{9}{6} = \frac{37}{57}$

The following animation demonstrates the divide-by,