Add 1/49 and 27/40
1/49 + 27/40 is 1363/1960.
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,
1/49 = 1 × 40/49 × 40 = 40/1960 - Likewise, for the 2nd fraction, since 40 × 49 = 1960,
27/40 = 27 × 49/40 × 49 = 1323/1960 - Add the two like fractions:
40/1960 + 1323/1960 = 40 + 1323/1960 = 1363/1960 - So, 1/49 + 27/40 = 1363/1960
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