What is 95/98 Divided By 5/6

Solving $\frac{95}{98}\div\frac{5}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{95}{98} \div \frac{5}{6} = \frac{95}{98} \times \frac{6}{5}$

• Multiply the Numerators: $95 \times 6 = 570$
• Multiply the Denominators: $98 \times 5 = 490$
• Form the New Fraction: $\frac{95}{98} \times \frac{5}{6} = \frac{570}{490}$

Let's Simplify $\frac{570}{490}$

• Find the Greatest Common Divisor (GCD) of $570$ and $490$. The GCD of $570$ and $490$ is $10$.
• Divide both the numerator and the denominator by the GCD:$\frac{570 \div 10}{490 \div 10} = \frac{57}{49}$

Answer $\frac{95}{98}\div\frac{5}{6} = \frac{57}{49}$

The following animation demonstrates the divide-by,