What is 72/88 Divided By 8/5

Solving $\frac{72}{88}\div\frac{8}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{72}{88} \div \frac{8}{5} = \frac{72}{88} \times \frac{5}{8}$

• Multiply the Numerators: $72 \times 5 = 360$
• Multiply the Denominators: $88 \times 8 = 704$
• Form the New Fraction: $\frac{72}{88} \times \frac{8}{5} = \frac{360}{704}$

Let's Simplify $\frac{360}{704}$

• Find the Greatest Common Divisor (GCD) of $360$ and $704$. The GCD of $360$ and $704$ is $8$.
• Divide both the numerator and the denominator by the GCD:$\frac{360 \div 8}{704 \div 8} = \frac{45}{88}$

Answer $\frac{72}{88}\div\frac{8}{5} = \frac{45}{88}$

The following animation demonstrates the divide-by,