What is 95/85 Divided By 9/6

Solving $\frac{95}{85}\div\frac{9}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{95}{85} \div \frac{9}{6} = \frac{95}{85} \times \frac{6}{9}$

• Multiply the Numerators: $95 \times 6 = 570$
• Multiply the Denominators: $85 \times 9 = 765$
• Form the New Fraction: $\frac{95}{85} \times \frac{9}{6} = \frac{570}{765}$

Let's Simplify $\frac{570}{765}$

• Find the Greatest Common Divisor (GCD) of $570$ and $765$. The GCD of $570$ and $765$ is $15$.
• Divide both the numerator and the denominator by the GCD:$\frac{570 \div 15}{765 \div 15} = \frac{38}{51}$

Answer $\frac{95}{85}\div\frac{9}{6} = \frac{38}{51}$

The following animation demonstrates the divide-by,