What is 70/75 Divided By 7/5

Solving $\frac{70}{75}\div\frac{7}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{70}{75} \div \frac{7}{5} = \frac{70}{75} \times \frac{5}{7}$

• Multiply the Numerators: $70 \times 5 = 350$
• Multiply the Denominators: $75 \times 7 = 525$
• Form the New Fraction: $\frac{70}{75} \times \frac{7}{5} = \frac{350}{525}$

Let's Simplify $\frac{350}{525}$

• Find the Greatest Common Divisor (GCD) of $350$ and $525$. The GCD of $350$ and $525$ is $175$.
• Divide both the numerator and the denominator by the GCD:$\frac{350 \div 175}{525 \div 175} = \frac{2}{3}$

Answer $\frac{70}{75}\div\frac{7}{5} = \frac{2}{3}$

The following animation demonstrates the divide-by,