What is 46/17 Divided By 2/7

Solving $\frac{46}{17}\div\frac{2}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{46}{17} \div \frac{2}{7} = \frac{46}{17} \times \frac{7}{2}$

• Multiply the Numerators: $46 \times 7 = 322$
• Multiply the Denominators: $17 \times 2 = 34$
• Form the New Fraction: $\frac{46}{17} \times \frac{2}{7} = \frac{322}{34}$

Let's Simplify $\frac{322}{34}$

• Find the Greatest Common Divisor (GCD) of $322$ and $34$. The GCD of $322$ and $34$ is $2$.
• Divide both the numerator and the denominator by the GCD:$\frac{322 \div 2}{34 \div 2} = \frac{161}{17}$

Answer $\frac{46}{17}\div\frac{2}{7} = \frac{161}{17}$

The following animation demonstrates the divide-by,