What is 88/24 Divided By 5/7

Solving $\frac{88}{24}\div\frac{5}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{88}{24} \div \frac{5}{7} = \frac{88}{24} \times \frac{7}{5}$

• Multiply the Numerators: $88 \times 7 = 616$
• Multiply the Denominators: $24 \times 5 = 120$
• Form the New Fraction: $\frac{88}{24} \times \frac{5}{7} = \frac{616}{120}$

Let's Simplify $\frac{616}{120}$

• Find the Greatest Common Divisor (GCD) of $616$ and $120$. The GCD of $616$ and $120$ is $8$.
• Divide both the numerator and the denominator by the GCD:$\frac{616 \div 8}{120 \div 8} = \frac{77}{15}$

Answer $\frac{88}{24}\div\frac{5}{7} = \frac{77}{15}$

The following animation demonstrates the divide-by,