What is 88/11 Divided By 7/4

Solving $\frac{88}{11}\div\frac{7}{4}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{88}{11} \div \frac{7}{4} = \frac{88}{11} \times \frac{4}{7}$

• Multiply the Numerators: $88 \times 4 = 352$
• Multiply the Denominators: $11 \times 7 = 77$
• Form the New Fraction: $\frac{88}{11} \times \frac{7}{4} = \frac{352}{77}$

Let's Simplify $\frac{352}{77}$

• Find the Greatest Common Divisor (GCD) of $352$ and $77$. The GCD of $352$ and $77$ is $11$.
• Divide both the numerator and the denominator by the GCD:$\frac{352 \div 11}{77 \div 11} = \frac{32}{7}$

Answer $\frac{88}{11}\div\frac{7}{4} = \frac{32}{7}$

The following animation demonstrates the divide-by,