Add 15/40 and 28/49
15/40 + 28/49 is 53/56.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 40 and 49 is 1960
Next, find the equivalent fraction of both fractional numbers with denominator 1960 - For the 1st fraction, since 40 × 49 = 1960,
15/40 = 15 × 49/40 × 49 = 735/1960 - Likewise, for the 2nd fraction, since 49 × 40 = 1960,
28/49 = 28 × 40/49 × 40 = 1120/1960 - Add the two like fractions:
735/1960 + 1120/1960 = 735 + 1120/1960 = 1855/1960 - 1855/1960 simplified gives 53/56
- So, 15/40 + 28/49 = 53/56
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