What is 99/42 Divided By 4/5

Solving $\frac{99}{42}\div\frac{4}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{99}{42} \div \frac{4}{5} = \frac{99}{42} \times \frac{5}{4}$

• Multiply the Numerators: $99 \times 5 = 495$
• Multiply the Denominators: $42 \times 4 = 168$
• Form the New Fraction: $\frac{99}{42} \times \frac{4}{5} = \frac{495}{168}$

Let's Simplify $\frac{495}{168}$

• Find the Greatest Common Divisor (GCD) of $495$ and $168$. The GCD of $495$ and $168$ is $3$.
• Divide both the numerator and the denominator by the GCD:$\frac{495 \div 3}{168 \div 3} = \frac{165}{56}$

Answer $\frac{99}{42}\div\frac{4}{5} = \frac{165}{56}$

The following animation demonstrates the divide-by,