To convert fractions to decimal, first we have to look at the denominator of the fraction.
In this topic, we may receive three types of questions.
Case 1 :
If we are having the denominator as multiples of 10, then it is very simple to convert it as decimal.
For example, 5/10, 12/1000...........etc.
In 5/10, we have one zero at the denominator, so move decimal one digit to the left. So, the answer will be 0.5.
In 5/10, we have one zero at the denominator, so move decimal one digit to the left. So, the answer will be 0.5.
Case 2 :
Some times it is possible to make the denominators as multiple of 10.
4 x 25 = 100
5 x 2 = 10
8 x 125 = 1000,............. etc
Case 3 :
Using long division, we can convert fraction into decimal.
In the following exercises, convert
each fraction to a decimal.
Problem 1:
2/5
Solution:
Let change 2/5 to a decimal
(2/5) ∙ (20/20) = (40/100) ==> 0.4
2/5 = 0.4
Problem 2:
4/5
Solution:
Let change 4/5 to a decimal
(4/5) ∙ (20/20) = (80/100) ==> 0.8
4/5 = 0.8
Problem 3:
-3/8
Solution:
Let change -3/8 to a decimal
(-3/8) ∙ (125/125) = (-375/1000) ==> -0.375
-3/8 = -0.375
Problem 4:
-5/8
Solution:
Let change -5/8 to a decimal
(-5/8) ∙ (125/125) = (-625/1000) ==> -0.625
-5/8 = -0.625
Problem 5:
17/20
Solution:
Let change 17/20 to a decimal
(17/20) ∙ (5/5) = (85/100) ==> 0.85
17/20 = 0.85
Problem 6:
13/20
Solution:
Let change 13/20 to a decimal
(13/20) ∙ (5/5) = (65/100) ==> 0.65
13/20 = 0.65
Problem 7:
11/4
Solution:
Let change 11/4 to a decimal
(11/4) ∙ (25/25) = (275/100) ==> 2.75
11/4 = 2.75
Problem 8:
17/4
Solution:
Let change 17/4 to a decimal
(17/4) ∙ (25/25) = (425/100) ==> 4.25
17/4 = 4.25
Problem 9:
-310/25
Solution:
Let change -310/25 to a decimal
(-310/25) ∙ (4/4) = (1240/100) ==> 12.4
-310/25 = 12.4
Problem 10:
-284/25
Solution:
Let change -284/25 to a decimal
(-284/25) ∙ (4/4) = (1136/100) ==> 11.36
-284/25 = 11.36
Problem 11 :
5/9
Solution:
Doing long division, we can convert 5/9 as decimal.
5/9 = 0.55
Problem 12:
2/9
Solution:
Doing long division, we can convert 2/9 as decimal.
2/9 = 0.22
May 21, 24 08:51 PM
May 21, 24 08:51 AM
May 20, 24 10:45 PM