Question

Convert $5\frac{3}{40}$ into decimal.

Answer 1

We can convert the given mixed fraction to an improper fraction as$5\frac{3}{40}=\frac{40\times 5+3}{40}=\frac{203}{40}$.

Step 1. We can multiply $40$ by $25$ to make it$1000$.

Step 2. Multiply numerator and denominator by$25$.

$\frac{203\times 25}{40\times 25}=\frac{5075}{1000}$

Step 3. Write down $5075$ with the decimal point $3$ places from the right because $1000$ has $3$ zeros.

Hence, the decimal fraction of $5\frac{3}{40}$ is$5.075$.