Add 49/75 and 21/42
49/75 + 21/42 is 173/150.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 42 is 1050
Next, find the equivalent fraction of both fractional numbers with denominator 1050 - For the 1st fraction, since 75 × 14 = 1050,
49/75 = 49 × 14/75 × 14 = 686/1050 - Likewise, for the 2nd fraction, since 42 × 25 = 1050,
21/42 = 21 × 25/42 × 25 = 525/1050 - Add the two like fractions:
686/1050 + 525/1050 = 686 + 525/1050 = 1211/1050 - 1211/1050 simplified gives 173/150
- So, 49/75 + 21/42 = 173/150
In mixed form: 123/150
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