What is 45/75 Divided By 7/9

Solving $\frac{45}{75}\div\frac{7}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{45}{75} \div \frac{7}{9} = \frac{45}{75} \times \frac{9}{7}$

• Multiply the Numerators: $45 \times 9 = 405$
• Multiply the Denominators: $75 \times 7 = 525$
• Form the New Fraction: $\frac{45}{75} \times \frac{7}{9} = \frac{405}{525}$

Let's Simplify $\frac{405}{525}$

• Find the Greatest Common Divisor (GCD) of $405$ and $525$. The GCD of $405$ and $525$ is $15$.
• Divide both the numerator and the denominator by the GCD:$\frac{405 \div 15}{525 \div 15} = \frac{27}{35}$

Answer $\frac{45}{75}\div\frac{7}{9} = \frac{27}{35}$

The following animation demonstrates the divide-by,