What is 46/11 Divided By 4/5

Solving $\frac{46}{11}\div\frac{4}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{46}{11} \div \frac{4}{5} = \frac{46}{11} \times \frac{5}{4}$

• Multiply the Numerators: $46 \times 5 = 230$
• Multiply the Denominators: $11 \times 4 = 44$
• Form the New Fraction: $\frac{46}{11} \times \frac{4}{5} = \frac{230}{44}$

Let's Simplify $\frac{230}{44}$

• Find the Greatest Common Divisor (GCD) of $230$ and $44$. The GCD of $230$ and $44$ is $2$.
• Divide both the numerator and the denominator by the GCD:$\frac{230 \div 2}{44 \div 2} = \frac{115}{22}$

Answer $\frac{46}{11}\div\frac{4}{5} = \frac{115}{22}$

The following animation demonstrates the divide-by,