What is 60/76 Divided By 5/6

Solving $\frac{60}{76}\div\frac{5}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{60}{76} \div \frac{5}{6} = \frac{60}{76} \times \frac{6}{5}$

• Multiply the Numerators: $60 \times 6 = 360$
• Multiply the Denominators: $76 \times 5 = 380$
• Form the New Fraction: $\frac{60}{76} \times \frac{5}{6} = \frac{360}{380}$

Let's Simplify $\frac{360}{380}$

• Find the Greatest Common Divisor (GCD) of $360$ and $380$. The GCD of $360$ and $380$ is $20$.
• Divide both the numerator and the denominator by the GCD:$\frac{360 \div 20}{380 \div 20} = \frac{18}{19}$

Answer $\frac{60}{76}\div\frac{5}{6} = \frac{18}{19}$

The following animation demonstrates the divide-by,