Add 40/75 and 21/42
40/75 + 21/42 is 31/30.
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,
40/75 = 40 × 14/75 × 14 = 560/1050 - Likewise, for the 2nd fraction, since 42 × 25 = 1050,
21/42 = 21 × 25/42 × 25 = 525/1050 - Add the two like fractions:
560/1050 + 525/1050 = 560 + 525/1050 = 1085/1050 - 1085/1050 simplified gives 31/30
- So, 40/75 + 21/42 = 31/30
In mixed form: 11/30
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