What is 95/19 Divided By 4/9

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

• Rewrite the Division as Multiplication by the Reciprocal:

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

• Multiply the Numerators: $95 \times 9 = 855$
• Multiply the Denominators: $19 \times 4 = 76$
• Form the New Fraction: $\frac{95}{19} \times \frac{4}{9} = \frac{855}{76}$

Let's Simplify $\frac{855}{76}$

• Find the Greatest Common Divisor (GCD) of $855$ and $76$. The GCD of $855$ and $76$ is $19$.
• Divide both the numerator and the denominator by the GCD:$\frac{855 \div 19}{76 \div 19} = \frac{45}{4}$

Answer $\frac{95}{19}\div\frac{4}{9} = \frac{45}{4}$

The following animation demonstrates the divide-by,