What is 46/70 Divided By 2/6

Solving $\frac{46}{70}\div\frac{2}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{46}{70} \div \frac{2}{6} = \frac{46}{70} \times \frac{6}{2}$

• Multiply the Numerators: $46 \times 6 = 276$
• Multiply the Denominators: $70 \times 2 = 140$
• Form the New Fraction: $\frac{46}{70} \times \frac{2}{6} = \frac{276}{140}$

Let's Simplify $\frac{276}{140}$

• Find the Greatest Common Divisor (GCD) of $276$ and $140$. The GCD of $276$ and $140$ is $4$.
• Divide both the numerator and the denominator by the GCD:$\frac{276 \div 4}{140 \div 4} = \frac{69}{35}$

Answer $\frac{46}{70}\div\frac{2}{6} = \frac{69}{35}$

The following animation demonstrates the divide-by,