What is 75/60 Divided By 7/9

Solving $\frac{75}{60}\div\frac{7}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{75}{60} \div \frac{7}{9} = \frac{75}{60} \times \frac{9}{7}$

• Multiply the Numerators: $75 \times 9 = 675$
• Multiply the Denominators: $60 \times 7 = 420$
• Form the New Fraction: $\frac{75}{60} \times \frac{7}{9} = \frac{675}{420}$

Let's Simplify $\frac{675}{420}$

• Find the Greatest Common Divisor (GCD) of $675$ and $420$. The GCD of $675$ and $420$ is $15$.
• Divide both the numerator and the denominator by the GCD:$\frac{675 \div 15}{420 \div 15} = \frac{45}{28}$

Answer $\frac{75}{60}\div\frac{7}{9} = \frac{45}{28}$

The following animation demonstrates the divide-by,