What is 50/75 Divided By 7/9

Solving $\frac{50}{75}\div\frac{7}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{50}{75} \div \frac{7}{9} = \frac{50}{75} \times \frac{9}{7}$

• Multiply the Numerators: $50 \times 9 = 450$
• Multiply the Denominators: $75 \times 7 = 525$
• Form the New Fraction: $\frac{50}{75} \times \frac{7}{9} = \frac{450}{525}$

Let's Simplify $\frac{450}{525}$

• Find the Greatest Common Divisor (GCD) of $450$ and $525$. The GCD of $450$ and $525$ is $75$.
• Divide both the numerator and the denominator by the GCD:$\frac{450 \div 75}{525 \div 75} = \frac{6}{7}$

Answer $\frac{50}{75}\div\frac{7}{9} = \frac{6}{7}$

The following animation demonstrates the divide-by,