Add 3/49 and 21/40
3/49 + 21/40 is 1149/1960.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 49 and 40 is 1960
Next, find the equivalent fraction of both fractional numbers with denominator 1960 - For the 1st fraction, since 49 × 40 = 1960,
3/49 = 3 × 40/49 × 40 = 120/1960 - Likewise, for the 2nd fraction, since 40 × 49 = 1960,
21/40 = 21 × 49/40 × 49 = 1029/1960 - Add the two like fractions:
120/1960 + 1029/1960 = 120 + 1029/1960 = 1149/1960 - So, 3/49 + 21/40 = 1149/1960
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