What is 88/11 Divided By 3/2

Solving $\frac{88}{11}\div\frac{3}{2}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{88}{11} \div \frac{3}{2} = \frac{88}{11} \times \frac{2}{3}$

• Multiply the Numerators: $88 \times 2 = 176$
• Multiply the Denominators: $11 \times 3 = 33$
• Form the New Fraction: $\frac{88}{11} \times \frac{3}{2} = \frac{176}{33}$

Let's Simplify $\frac{176}{33}$

• Find the Greatest Common Divisor (GCD) of $176$ and $33$. The GCD of $176$ and $33$ is $11$.
• Divide both the numerator and the denominator by the GCD:$\frac{176 \div 11}{33 \div 11} = \frac{16}{3}$

Answer $\frac{88}{11}\div\frac{3}{2} = \frac{16}{3}$

The following animation demonstrates the divide-by,