What is 74/12 Divided By 6/4

Solving $\frac{74}{12}\div\frac{6}{4}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{74}{12} \div \frac{6}{4} = \frac{74}{12} \times \frac{4}{6}$

• Multiply the Numerators: $74 \times 4 = 296$
• Multiply the Denominators: $12 \times 6 = 72$
• Form the New Fraction: $\frac{74}{12} \times \frac{6}{4} = \frac{296}{72}$

Let's Simplify $\frac{296}{72}$

• Find the Greatest Common Divisor (GCD) of $296$ and $72$. The GCD of $296$ and $72$ is $8$.
• Divide both the numerator and the denominator by the GCD:$\frac{296 \div 8}{72 \div 8} = \frac{37}{9}$

Answer $\frac{74}{12}\div\frac{6}{4} = \frac{37}{9}$

The following animation demonstrates the divide-by,