What is 95/75 Divided By 4/5

Solving $\frac{95}{75}\div\frac{4}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{95}{75} \div \frac{4}{5} = \frac{95}{75} \times \frac{5}{4}$

• Multiply the Numerators: $95 \times 5 = 475$
• Multiply the Denominators: $75 \times 4 = 300$
• Form the New Fraction: $\frac{95}{75} \times \frac{4}{5} = \frac{475}{300}$

Let's Simplify $\frac{475}{300}$

• Find the Greatest Common Divisor (GCD) of $475$ and $300$. The GCD of $475$ and $300$ is $25$.
• Divide both the numerator and the denominator by the GCD:$\frac{475 \div 25}{300 \div 25} = \frac{19}{12}$

Answer $\frac{95}{75}\div\frac{4}{5} = \frac{19}{12}$

The following animation demonstrates the divide-by,