Question

Match the decimals to their appropriate simplest fractions.

• A. $\frac{3}{25}$
• B. $\frac{1}{50}$
• C. $\frac{4}{5}$
• D. $\frac{1}{10}$

Answer 1

First, let's convert 0.12 into fraction form:
Step 1: Write down the decimal $0.12$ divided by $1$
$0.12=\frac{0.12}{1}$

Step 2: As 0.12 has two digits after the decimal point, multiply by 100 in both the numerator and denominator of $\frac{0.12}{1}$

$\Rightarrow \frac{0.12}{1}=\frac{0.12\times 100}{1\times 100}=\frac{12}{100}$

Step 3: Simplify the fraction $\frac{12}{100}$
$\frac{12}{100}=\frac{3\times 4}{25\times 4}=\frac{3}{25}$

Similarly, we convert 0.02 into fractions as follows.

$\Rightarrow 0.02=\frac{0.02}{1}$

$=\frac{0.02\times 100}{1\times 100}$

$=\frac{2}{100}=\frac{1}{50}$

Similarly, we convert 0.8 into fractions as follows.

$\Rightarrow 0.8=\frac{0.8}{1}$

$=\frac{0.8\times 10}{1\times 10}$

$=\frac{8}{10}=\frac{4}{5}$

Similarly, we convert 0.10 into fraction as follows.

$\Rightarrow 0.10=\frac{0.10}{1}$

$=\frac{0.10\times 100}{1\times 100}$

$=\frac{10}{100}=\frac{1}{10}$