The sum of given fractions will be [tex]\dfrac{3}{4}[/tex]
Given that:
- To find the sum of 5/12 and 1/3
Calculations:
To sum fractions with unlike denominators, we will firstly find the least common multiple of both 12 and 3.
The multiples of 3 are: 3,6,9,12 ...
The multiples of 12 are: 12,24, 36, ...
The least number which is common in both of them is 12 itself. Thus we have to convert 1/3 to a fraction with base 12.
Since 12 is 4 times 3, thus we will multiply and divide 1/3 with 4
Thus, we get:
[tex]\dfrac{1}{3} = \dfrac{1 \times 4}{3 \times 4} = \dfrac{4}{12}[/tex]
Now adding both the fractions:
[tex]\dfrac{5}{12} + \dfrac{1}{3} = \dfrac{5}{12} + \dfrac{4}{12} = \dfrac{5+4}{12} = \dfrac{9}{12} = \dfrac{3}{4}[/tex]
Thus, the sum of given fractions is [tex]\dfrac{3}{4}[/tex]
Learn more about addition of fractions here:
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