Write the following in decimals.
$ (a) \frac{3}{4} $
(b) $\frac{2}{5}$

Given :

The given numbers are (i) $\frac{3}{4}$ (ii) $\frac{2}{5}$ 

To do :

We have to convert the given fractions to decimals.

Solution :

To convert a Fraction to a Decimal, follow these steps:

Step 1: Find a number you can multiply by the bottom of the fraction to make it 10 or a multiple of 10.

Step 2: Multiply both top and bottom by that number.

Step 3: Then write down just the top number, putting the decimal point in the correct spot (one space from the right-hand side for every zero in the bottom number).

(i) $\frac{3}{4}$

$\frac{3}{4} = \frac{(3\times25)}{(4\times 25)}$

$= \frac{75}{100}$

$= 0.75$

(ii) $\frac{2}{5}$ 

$\frac{2}{5} = \frac{(2\times20)}{(5\times 20)}$

$= \frac{40}{100}$

$= 0.40$

$= 0.4$

Therefore, $\frac{3}{4}$ in decimal is 0.75 and $\frac{2}{5}$ in decimal is 0.4. 

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Updated on: 10-Oct-2022

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