What is 95/91 Divided By 5/6

Solving $\frac{95}{91}\div\frac{5}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{95}{91} \div \frac{5}{6} = \frac{95}{91} \times \frac{6}{5}$

• Multiply the Numerators: $95 \times 6 = 570$
• Multiply the Denominators: $91 \times 5 = 455$
• Form the New Fraction: $\frac{95}{91} \times \frac{5}{6} = \frac{570}{455}$

Let's Simplify $\frac{570}{455}$

• Find the Greatest Common Divisor (GCD) of $570$ and $455$. The GCD of $570$ and $455$ is $5$.
• Divide both the numerator and the denominator by the GCD:$\frac{570 \div 5}{455 \div 5} = \frac{114}{91}$

Answer $\frac{95}{91}\div\frac{5}{6} = \frac{114}{91}$

The following animation demonstrates the divide-by,