What is 46/48 Divided By 1/5

Solving $\frac{46}{48}\div\frac{1}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{46}{48} \div \frac{1}{5} = \frac{46}{48} \times \frac{5}{1}$

• Multiply the Numerators: $46 \times 5 = 230$
• Multiply the Denominators: $48 \times 1 = 48$
• Form the New Fraction: $\frac{46}{48} \times \frac{1}{5} = \frac{230}{48}$

Let's Simplify $\frac{230}{48}$

• Find the Greatest Common Divisor (GCD) of $230$ and $48$. The GCD of $230$ and $48$ is $2$.
• Divide both the numerator and the denominator by the GCD:$\frac{230 \div 2}{48 \div 2} = \frac{115}{24}$

Answer $\frac{46}{48}\div\frac{1}{5} = \frac{115}{24}$

The following animation demonstrates the divide-by,