What is 91/98 Divided By 4/6

Solving $\frac{91}{98}\div\frac{4}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{91}{98} \div \frac{4}{6} = \frac{91}{98} \times \frac{6}{4}$

• Multiply the Numerators: $91 \times 6 = 546$
• Multiply the Denominators: $98 \times 4 = 392$
• Form the New Fraction: $\frac{91}{98} \times \frac{4}{6} = \frac{546}{392}$

Let's Simplify $\frac{546}{392}$

• Find the Greatest Common Divisor (GCD) of $546$ and $392$. The GCD of $546$ and $392$ is $14$.
• Divide both the numerator and the denominator by the GCD:$\frac{546 \div 14}{392 \div 14} = \frac{39}{28}$

Answer $\frac{91}{98}\div\frac{4}{6} = \frac{39}{28}$

The following animation demonstrates the divide-by,