What is 70/72 Divided By 5/2

Solving $\frac{70}{72}\div\frac{5}{2}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{70}{72} \div \frac{5}{2} = \frac{70}{72} \times \frac{2}{5}$

• Multiply the Numerators: $70 \times 2 = 140$
• Multiply the Denominators: $72 \times 5 = 360$
• Form the New Fraction: $\frac{70}{72} \times \frac{5}{2} = \frac{140}{360}$

Let's Simplify $\frac{140}{360}$

• Find the Greatest Common Divisor (GCD) of $140$ and $360$. The GCD of $140$ and $360$ is $20$.
• Divide both the numerator and the denominator by the GCD:$\frac{140 \div 20}{360 \div 20} = \frac{7}{18}$

Answer $\frac{70}{72}\div\frac{5}{2} = \frac{7}{18}$

The following animation demonstrates the divide-by,