What is 95/19 Divided By 9/4

Solving $\frac{95}{19}\div\frac{9}{4}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{95}{19} \div \frac{9}{4} = \frac{95}{19} \times \frac{4}{9}$

• Multiply the Numerators: $95 \times 4 = 380$
• Multiply the Denominators: $19 \times 9 = 171$
• Form the New Fraction: $\frac{95}{19} \times \frac{9}{4} = \frac{380}{171}$

Let's Simplify $\frac{380}{171}$

• Find the Greatest Common Divisor (GCD) of $380$ and $171$. The GCD of $380$ and $171$ is $19$.
• Divide both the numerator and the denominator by the GCD:$\frac{380 \div 19}{171 \div 19} = \frac{20}{9}$

Answer $\frac{95}{19}\div\frac{9}{4} = \frac{20}{9}$

The following animation demonstrates the divide-by,