What is 88/22 Divided By 5/8

Solving $\frac{88}{22}\div\frac{5}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{88}{22} \div \frac{5}{8} = \frac{88}{22} \times \frac{8}{5}$

• Multiply the Numerators: $88 \times 8 = 704$
• Multiply the Denominators: $22 \times 5 = 110$
• Form the New Fraction: $\frac{88}{22} \times \frac{5}{8} = \frac{704}{110}$

Let's Simplify $\frac{704}{110}$

• Find the Greatest Common Divisor (GCD) of $704$ and $110$. The GCD of $704$ and $110$ is $22$.
• Divide both the numerator and the denominator by the GCD:$\frac{704 \div 22}{110 \div 22} = \frac{32}{5}$

Answer $\frac{88}{22}\div\frac{5}{8} = \frac{32}{5}$

The following animation demonstrates the divide-by,