What is 46/17 Divided By 2/5

Solving $\frac{46}{17}\div\frac{2}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{46}{17} \div \frac{2}{5} = \frac{46}{17} \times \frac{5}{2}$

• Multiply the Numerators: $46 \times 5 = 230$
• Multiply the Denominators: $17 \times 2 = 34$
• Form the New Fraction: $\frac{46}{17} \times \frac{2}{5} = \frac{230}{34}$

Let's Simplify $\frac{230}{34}$

• Find the Greatest Common Divisor (GCD) of $230$ and $34$. The GCD of $230$ and $34$ is $2$.
• Divide both the numerator and the denominator by the GCD:$\frac{230 \div 2}{34 \div 2} = \frac{115}{17}$

Answer $\frac{46}{17}\div\frac{2}{5} = \frac{115}{17}$

The following animation demonstrates the divide-by,