What is 60/88 Divided By 1/6

Solving $\frac{60}{88}\div\frac{1}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{60}{88} \div \frac{1}{6} = \frac{60}{88} \times \frac{6}{1}$

• Multiply the Numerators: $60 \times 6 = 360$
• Multiply the Denominators: $88 \times 1 = 88$
• Form the New Fraction: $\frac{60}{88} \times \frac{1}{6} = \frac{360}{88}$

Let's Simplify $\frac{360}{88}$

• Find the Greatest Common Divisor (GCD) of $360$ and $88$. The GCD of $360$ and $88$ is $8$.
• Divide both the numerator and the denominator by the GCD:$\frac{360 \div 8}{88 \div 8} = \frac{45}{11}$

Answer $\frac{60}{88}\div\frac{1}{6} = \frac{45}{11}$

The following animation demonstrates the divide-by,