What is 75/35 Divided By 9/7

Solving $\frac{75}{35}\div\frac{9}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{75}{35} \div \frac{9}{7} = \frac{75}{35} \times \frac{7}{9}$

• Multiply the Numerators: $75 \times 7 = 525$
• Multiply the Denominators: $35 \times 9 = 315$
• Form the New Fraction: $\frac{75}{35} \times \frac{9}{7} = \frac{525}{315}$

Let's Simplify $\frac{525}{315}$

• Find the Greatest Common Divisor (GCD) of $525$ and $315$. The GCD of $525$ and $315$ is $105$.
• Divide both the numerator and the denominator by the GCD:$\frac{525 \div 105}{315 \div 105} = \frac{5}{3}$

Answer $\frac{75}{35}\div\frac{9}{7} = \frac{5}{3}$

The following animation demonstrates the divide-by,