What is 61/74 Divided By 6/8

Solving $\frac{61}{74}\div\frac{6}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{61}{74} \div \frac{6}{8} = \frac{61}{74} \times \frac{8}{6}$

• Multiply the Numerators: $61 \times 8 = 488$
• Multiply the Denominators: $74 \times 6 = 444$
• Form the New Fraction: $\frac{61}{74} \times \frac{6}{8} = \frac{488}{444}$

Let's Simplify $\frac{488}{444}$

• Find the Greatest Common Divisor (GCD) of $488$ and $444$. The GCD of $488$ and $444$ is $4$.
• Divide both the numerator and the denominator by the GCD:$\frac{488 \div 4}{444 \div 4} = \frac{122}{111}$

Answer $\frac{61}{74}\div\frac{6}{8} = \frac{122}{111}$

The following animation demonstrates the divide-by,