What is 35/75 Divided By 7/9

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

• Rewrite the Division as Multiplication by the Reciprocal:

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

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

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

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

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

The following animation demonstrates the divide-by,