What is 46/45 Divided By 1/5

Solving $\frac{46}{45}\div\frac{1}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{46}{45} \div \frac{1}{5} = \frac{46}{45} \times \frac{5}{1}$

• Multiply the Numerators: $46 \times 5 = 230$
• Multiply the Denominators: $45 \times 1 = 45$
• Form the New Fraction: $\frac{46}{45} \times \frac{1}{5} = \frac{230}{45}$

Let's Simplify $\frac{230}{45}$

• Find the Greatest Common Divisor (GCD) of $230$ and $45$. The GCD of $230$ and $45$ is $5$.
• Divide both the numerator and the denominator by the GCD:$\frac{230 \div 5}{45 \div 5} = \frac{46}{9}$

Answer $\frac{46}{45}\div\frac{1}{5} = \frac{46}{9}$

The following animation demonstrates the divide-by,