Write the following decimals as fractions. Reduce the fractions to lowest form.
(a) 0.6
(b) 2.5
(c) 1.0
(d) 3.8
(e) 13.7
(f) 21.2
(g) 6.4

To do:

We have to write the given decimals as fractions and reduce them to the lowest forms.

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.

Therefore,

(a) $0.6=\frac{0.6}{1}$

$\frac{0.6\times 10}{1 \times 10} = \frac{6}{10}$

$\frac{6}{10} = \frac{3}{5}$ 

(b) $2.5=\frac{2.5}{1}$

$\frac{2.5\times 10}{1 \times 10} = \frac{25}{10}$

$\frac{25}{10} = \frac{5}{2}$

(c) $1.0=\frac{1.0}{1}$

$\frac{1.0\times 10}{1 \times 10} = \frac{10}{10}$

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

(d) $3.8=\frac{3.8}{1}$

$\frac{3.8\times 10}{1 \times 10} = \frac{38}{10}$

$\frac{38}{10} = \frac{19}{5}$

(e) $13.7=\frac{13.7}{1}$

$\frac{13.7\times 10}{1 \times 10} = \frac{137}{10}$

$\frac{137}{10}$ is in the lowest form.

(f) $21.2=\frac{21.2}{1}$

$\frac{21.2\times 10}{1 \times 10} = \frac{212}{10}$

$\frac{212}{10} = \frac{106}{5}$

(g) $6.4=\frac{6.4}{1}$

$\frac{6.4\times 10}{1 \times 10} = \frac{64}{10}$

$\frac{64}{10} = \frac{32}{5}$

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Updated on: 10-Oct-2022

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