Write as fractions in lowest terms.
(a) 0.60
(b) 0.05
(c) 0.75
(d) 0.18
(e) 0.25
(f) 0.125
(g) 0.066

To do:

We have to write the given decimals as fractions in the lowest terms.

Solution:

Converting decimal to fraction:

To convert a Decimal to a Fraction follow these steps

Step 1: Write down the decimal divided by 1.

Step 2: Multiply both top and bottom by 10 for every number after the decimal

point. (For example, if there are two numbers after the decimal point, then use 100, if there are three then use 1000, etc.)

Step 3: Simplify (or reduce) the fraction.

(a) $\frac{0.60}{1}$

$\frac{0.60\times 100}{1 \times 100} = \frac{60}{100}$

$\frac{60}{100} = \frac{3}{5}$  

0.60 as a fraction in the lowest term is $\frac{3}{5}$ .

(b) $\frac{0.05}{1}$

$\frac{0.05\times 100}{1 \times 100} = \frac{5}{100}$

$\frac{5}{100} = \frac{1}{20}$  

0.05 as a fraction in the lowest term is $\frac{1}{20}$ .

(c) $\frac{0.75}{1}$

$\frac{0.75\times 100}{1 \times 100} = \frac{75}{100}$

$\frac{75}{100} = \frac{3}{4}$  

0.75 as a fraction in the lowest term is $\frac{3}{4}$ .

(d) $\frac{0.18}{1}$

$\frac{0.18\times 100}{1 \times 100} = \frac{18}{100}$

$\frac{18}{100} = \frac{9}{50}$  

0.18 as a fraction in the lowest term is $\frac{9}{50}$ .

(e) $\frac{0.25}{1}$

$\frac{0.25\times 100}{1 \times 100} = \frac{25}{100}$

$\frac{25}{100} = \frac{1}{4}$  

0.25 as a fraction in the lowest term is $\frac{1}{4}$ .

(f) $\frac{0.125}{1}$

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

$\frac{125}{1000} = \frac{1}{8}$  

0.125 as a fraction in the lowest term is $\frac{1}{8}$ .

(g) $\frac{0.066}{1}$

$\frac{0.066\times 1000}{1 \times 1000} = \frac{66}{1000}$

$\frac{66}{1000} = \frac{33}{500}$  

0.066 as a fraction in the lowest term is $\frac{33}{500}$ .

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Updated on: 10-Oct-2022

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