What is 46/11 Divided By 2/5

Solving $\frac{46}{11}\div\frac{2}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{46}{11} \div \frac{2}{5} = \frac{46}{11} \times \frac{5}{2}$

• Multiply the Numerators: $46 \times 5 = 230$
• Multiply the Denominators: $11 \times 2 = 22$
• Form the New Fraction: $\frac{46}{11} \times \frac{2}{5} = \frac{230}{22}$

Let's Simplify $\frac{230}{22}$

• Find the Greatest Common Divisor (GCD) of $230$ and $22$. The GCD of $230$ and $22$ is $2$.
• Divide both the numerator and the denominator by the GCD:$\frac{230 \div 2}{22 \div 2} = \frac{115}{11}$

Answer $\frac{46}{11}\div\frac{2}{5} = \frac{115}{11}$

The following animation demonstrates the divide-by,