What is 88/66 Divided By 5/8

Solving $\frac{88}{66}\div\frac{5}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{88}{66} \div \frac{5}{8} = \frac{88}{66} \times \frac{8}{5}$

• Multiply the Numerators: $88 \times 8 = 704$
• Multiply the Denominators: $66 \times 5 = 330$
• Form the New Fraction: $\frac{88}{66} \times \frac{5}{8} = \frac{704}{330}$

Let's Simplify $\frac{704}{330}$

• Find the Greatest Common Divisor (GCD) of $704$ and $330$. The GCD of $704$ and $330$ is $22$.
• Divide both the numerator and the denominator by the GCD:$\frac{704 \div 22}{330 \div 22} = \frac{32}{15}$

Answer $\frac{88}{66}\div\frac{5}{8} = \frac{32}{15}$

The following animation demonstrates the divide-by,