What is 74/95 Divided By 6/4

Solving $\frac{74}{95}\div\frac{6}{4}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{74}{95} \div \frac{6}{4} = \frac{74}{95} \times \frac{4}{6}$

• Multiply the Numerators: $74 \times 4 = 296$
• Multiply the Denominators: $95 \times 6 = 570$
• Form the New Fraction: $\frac{74}{95} \times \frac{6}{4} = \frac{296}{570}$

Let's Simplify $\frac{296}{570}$

• Find the Greatest Common Divisor (GCD) of $296$ and $570$. The GCD of $296$ and $570$ is $2$.
• Divide both the numerator and the denominator by the GCD:$\frac{296 \div 2}{570 \div 2} = \frac{148}{285}$

Answer $\frac{74}{95}\div\frac{6}{4} = \frac{148}{285}$

The following animation demonstrates the divide-by,