What is 95/75 Divided By 2/9

Solving $\frac{95}{75}\div\frac{2}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{95}{75} \div \frac{2}{9} = \frac{95}{75} \times \frac{9}{2}$

• Multiply the Numerators: $95 \times 9 = 855$
• Multiply the Denominators: $75 \times 2 = 150$
• Form the New Fraction: $\frac{95}{75} \times \frac{2}{9} = \frac{855}{150}$

Let's Simplify $\frac{855}{150}$

• Find the Greatest Common Divisor (GCD) of $855$ and $150$. The GCD of $855$ and $150$ is $15$.
• Divide both the numerator and the denominator by the GCD:$\frac{855 \div 15}{150 \div 15} = \frac{57}{10}$

Answer $\frac{95}{75}\div\frac{2}{9} = \frac{57}{10}$

The following animation demonstrates the divide-by,