What is 60/75 Divided By 8/9

Solving $\frac{60}{75}\div\frac{8}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{60}{75} \div \frac{8}{9} = \frac{60}{75} \times \frac{9}{8}$

• Multiply the Numerators: $60 \times 9 = 540$
• Multiply the Denominators: $75 \times 8 = 600$
• Form the New Fraction: $\frac{60}{75} \times \frac{8}{9} = \frac{540}{600}$

Let's Simplify $\frac{540}{600}$

• Find the Greatest Common Divisor (GCD) of $540$ and $600$. The GCD of $540$ and $600$ is $60$.
• Divide both the numerator and the denominator by the GCD:$\frac{540 \div 60}{600 \div 60} = \frac{9}{10}$

Answer $\frac{60}{75}\div\frac{8}{9} = \frac{9}{10}$

The following animation demonstrates the divide-by,