What is 61/18 Divided By 6/8

Solving $\frac{61}{18}\div\frac{6}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{61}{18} \div \frac{6}{8} = \frac{61}{18} \times \frac{8}{6}$

• Multiply the Numerators: $61 \times 8 = 488$
• Multiply the Denominators: $18 \times 6 = 108$
• Form the New Fraction: $\frac{61}{18} \times \frac{6}{8} = \frac{488}{108}$

Let's Simplify $\frac{488}{108}$

• Find the Greatest Common Divisor (GCD) of $488$ and $108$. The GCD of $488$ and $108$ is $4$.
• Divide both the numerator and the denominator by the GCD:$\frac{488 \div 4}{108 \div 4} = \frac{122}{27}$

Answer $\frac{61}{18}\div\frac{6}{8} = \frac{122}{27}$

The following animation demonstrates the divide-by,