What is 60/24 Divided By 9/7

Solving $\frac{60}{24}\div\frac{9}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{60}{24} \div \frac{9}{7} = \frac{60}{24} \times \frac{7}{9}$

• Multiply the Numerators: $60 \times 7 = 420$
• Multiply the Denominators: $24 \times 9 = 216$
• Form the New Fraction: $\frac{60}{24} \times \frac{9}{7} = \frac{420}{216}$

Let's Simplify $\frac{420}{216}$

• Find the Greatest Common Divisor (GCD) of $420$ and $216$. The GCD of $420$ and $216$ is $12$.
• Divide both the numerator and the denominator by the GCD:$\frac{420 \div 12}{216 \div 12} = \frac{35}{18}$

Answer $\frac{60}{24}\div\frac{9}{7} = \frac{35}{18}$

The following animation demonstrates the divide-by,