Question

Write $10.45$ as a mixed number.

• A. $1\frac{3}{20}$
• B. $10\frac{3}{20}$
• C. $1\frac{9}{20}$
• D. $10\frac{9}{20}$

Answer 1

The correct option is D $10\frac{9}{20}$

10.45 has a whole part and a fractional part
$10\Rightarrow \text{Whole part}0.45\Rightarrow \text{Fractional part}$
Hence, 10.45 = 10 + 0.45

Let's convert $0.45$ to a fraction:

Step 1: Rewrite the decimal as a fraction with a denominator of 1:
$\frac{0.45}{1}$

Step 2: The place value of units digit in 0.45 is hundredths. So, multiply both top and bottom number of $\frac{0.45}{1}$ by 100

$\therefore \frac{0.45}{1}=\frac{0.45\times 100}{1\times 100}=\frac{45}{100}$

Step 3: Simplify the fraction.
$\frac{45}{100}=\frac{5\times 9}{5\times 20}$
Cancel out the common factors, we get
$=\frac{9}{20}$

$\Rightarrow 0.45=\frac{9}{20}$

$\therefore 10.45=10+0.45=10+\frac{9}{20}=10\frac{9}{20}$