What is 91/35 Divided By 2/6

Solving $\frac{91}{35}\div\frac{2}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{91}{35} \div \frac{2}{6} = \frac{91}{35} \times \frac{6}{2}$

• Multiply the Numerators: $91 \times 6 = 546$
• Multiply the Denominators: $35 \times 2 = 70$
• Form the New Fraction: $\frac{91}{35} \times \frac{2}{6} = \frac{546}{70}$

Let's Simplify $\frac{546}{70}$

• Find the Greatest Common Divisor (GCD) of $546$ and $70$. The GCD of $546$ and $70$ is $14$.
• Divide both the numerator and the denominator by the GCD:$\frac{546 \div 14}{70 \div 14} = \frac{39}{5}$

Answer $\frac{91}{35}\div\frac{2}{6} = \frac{39}{5}$

The following animation demonstrates the divide-by,