What is 34/74 Divided By 4/6

Solving $\frac{34}{74}\div\frac{4}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{34}{74} \div \frac{4}{6} = \frac{34}{74} \times \frac{6}{4}$

• Multiply the Numerators: $34 \times 6 = 204$
• Multiply the Denominators: $74 \times 4 = 296$
• Form the New Fraction: $\frac{34}{74} \times \frac{4}{6} = \frac{204}{296}$

Let's Simplify $\frac{204}{296}$

• Find the Greatest Common Divisor (GCD) of $204$ and $296$. The GCD of $204$ and $296$ is $4$.
• Divide both the numerator and the denominator by the GCD:$\frac{204 \div 4}{296 \div 4} = \frac{51}{74}$

Answer $\frac{34}{74}\div\frac{4}{6} = \frac{51}{74}$

The following animation demonstrates the divide-by,