What is 74/70 Divided By 6/8

Solving $\frac{74}{70}\div\frac{6}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{74}{70} \div \frac{6}{8} = \frac{74}{70} \times \frac{8}{6}$

• Multiply the Numerators: $74 \times 8 = 592$
• Multiply the Denominators: $70 \times 6 = 420$
• Form the New Fraction: $\frac{74}{70} \times \frac{6}{8} = \frac{592}{420}$

Let's Simplify $\frac{592}{420}$

• Find the Greatest Common Divisor (GCD) of $592$ and $420$. The GCD of $592$ and $420$ is $4$.
• Divide both the numerator and the denominator by the GCD:$\frac{592 \div 4}{420 \div 4} = \frac{148}{105}$

Answer $\frac{74}{70}\div\frac{6}{8} = \frac{148}{105}$

The following animation demonstrates the divide-by,