Question

Write $99.125$ as a mixed number.

• A. $99\frac{1}{4}$
• B. $99\frac{1}{8}$
• C. $100\frac{1}{8}$
• D. $100\frac{1}{4}$

Answer 1

The correct option is B $99\frac{1}{8}$

99.125 has a whole part and a fractional part
$99\Rightarrow \text{Whole part}0.125\Rightarrow \text{Fractional part}$
Hence, 99.125 = 99 + 0.125

Let's convert $0.125$ to a fraction:

Step 1: Rewrite the decimal as a fraction with a denominator of 1:
$\frac{0.125}{1}$

Step 2: The place value of units digit in 0.125 is thousandths. So, multiply both top and bottom number of $\frac{0.125}{1}$ by 1000

$\therefore \frac{0.125}{1}=\frac{0.125\times 1000}{1\times 1000}=\frac{125}{1000}$

Step 3: Simplify the fraction.
$\frac{125}{1000}=\frac{5\times 5\times 5}{5\times 5\times 5\times 8}$
Cancel out the common factors, we get
$=\frac{1}{8}$

$\Rightarrow 0.125=\frac{1}{8}$

$\therefore 99.125=99+0.125=99+\frac{1}{8}=99\frac{1}{8}$