What is 60/52 Divided By 8/3

Solving $\frac{60}{52}\div\frac{8}{3}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{60}{52} \div \frac{8}{3} = \frac{60}{52} \times \frac{3}{8}$

• Multiply the Numerators: $60 \times 3 = 180$
• Multiply the Denominators: $52 \times 8 = 416$
• Form the New Fraction: $\frac{60}{52} \times \frac{8}{3} = \frac{180}{416}$

Let's Simplify $\frac{180}{416}$

• Find the Greatest Common Divisor (GCD) of $180$ and $416$. The GCD of $180$ and $416$ is $4$.
• Divide both the numerator and the denominator by the GCD:$\frac{180 \div 4}{416 \div 4} = \frac{45}{104}$

Answer $\frac{60}{52}\div\frac{8}{3} = \frac{45}{104}$

The following animation demonstrates the divide-by,