What is 70/75 Divided By 7/2

Solving $\frac{70}{75}\div\frac{7}{2}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{70}{75} \div \frac{7}{2} = \frac{70}{75} \times \frac{2}{7}$

• Multiply the Numerators: $70 \times 2 = 140$
• Multiply the Denominators: $75 \times 7 = 525$
• Form the New Fraction: $\frac{70}{75} \times \frac{7}{2} = \frac{140}{525}$

Let's Simplify $\frac{140}{525}$

• Find the Greatest Common Divisor (GCD) of $140$ and $525$. The GCD of $140$ and $525$ is $35$.
• Divide both the numerator and the denominator by the GCD:$\frac{140 \div 35}{525 \div 35} = \frac{4}{15}$

Answer $\frac{70}{75}\div\frac{7}{2} = \frac{4}{15}$

The following animation demonstrates the divide-by,