What is 46/35 Divided By 2/7

Solving $\frac{46}{35}\div\frac{2}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{46}{35} \div \frac{2}{7} = \frac{46}{35} \times \frac{7}{2}$

• Multiply the Numerators: $46 \times 7 = 322$
• Multiply the Denominators: $35 \times 2 = 70$
• Form the New Fraction: $\frac{46}{35} \times \frac{2}{7} = \frac{322}{70}$

Let's Simplify $\frac{322}{70}$

• Find the Greatest Common Divisor (GCD) of $322$ and $70$. The GCD of $322$ and $70$ is $14$.
• Divide both the numerator and the denominator by the GCD:$\frac{322 \div 14}{70 \div 14} = \frac{23}{5}$

Answer $\frac{46}{35}\div\frac{2}{7} = \frac{23}{5}$

The following animation demonstrates the divide-by,