What is 91/70 Divided By 2/6

Solving $\frac{91}{70}\div\frac{2}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{91}{70} \div \frac{2}{6} = \frac{91}{70} \times \frac{6}{2}$

• Multiply the Numerators: $91 \times 6 = 546$
• Multiply the Denominators: $70 \times 2 = 140$
• Form the New Fraction: $\frac{91}{70} \times \frac{2}{6} = \frac{546}{140}$

Let's Simplify $\frac{546}{140}$

• Find the Greatest Common Divisor (GCD) of $546$ and $140$. The GCD of $546$ and $140$ is $14$.
• Divide both the numerator and the denominator by the GCD:$\frac{546 \div 14}{140 \div 14} = \frac{39}{10}$

Answer $\frac{91}{70}\div\frac{2}{6} = \frac{39}{10}$

The following animation demonstrates the divide-by,