What is 91/98 Divided By 2/9

Solving $\frac{91}{98}\div\frac{2}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{91}{98} \div \frac{2}{9} = \frac{91}{98} \times \frac{9}{2}$

• Multiply the Numerators: $91 \times 9 = 819$
• Multiply the Denominators: $98 \times 2 = 196$
• Form the New Fraction: $\frac{91}{98} \times \frac{2}{9} = \frac{819}{196}$

Let's Simplify $\frac{819}{196}$

• Find the Greatest Common Divisor (GCD) of $819$ and $196$. The GCD of $819$ and $196$ is $7$.
• Divide both the numerator and the denominator by the GCD:$\frac{819 \div 7}{196 \div 7} = \frac{117}{28}$

Answer $\frac{91}{98}\div\frac{2}{9} = \frac{117}{28}$

The following animation demonstrates the divide-by,