What is 75/70 Divided By 5/7

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

• Rewrite the Division as Multiplication by the Reciprocal:

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

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

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

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

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

The following animation demonstrates the divide-by,