What is 95/75 Divided By 6/9

Solving $\frac{95}{75}\div\frac{6}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{95}{75} \div \frac{6}{9} = \frac{95}{75} \times \frac{9}{6}$

• Multiply the Numerators: $95 \times 9 = 855$
• Multiply the Denominators: $75 \times 6 = 450$
• Form the New Fraction: $\frac{95}{75} \times \frac{6}{9} = \frac{855}{450}$

Let's Simplify $\frac{855}{450}$

• Find the Greatest Common Divisor (GCD) of $855$ and $450$. The GCD of $855$ and $450$ is $45$.
• Divide both the numerator and the denominator by the GCD:$\frac{855 \div 45}{450 \div 45} = \frac{19}{10}$

Answer $\frac{95}{75}\div\frac{6}{9} = \frac{19}{10}$

The following animation demonstrates the divide-by,