Add 14/49 and 21/40
14/49 + 21/40 is 227/280.
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,
14/49 = 14 × 40/49 × 40 = 560/1960 - Likewise, for the 2nd fraction, since 40 × 49 = 1960,
21/40 = 21 × 49/40 × 49 = 1029/1960 - Add the two like fractions:
560/1960 + 1029/1960 = 560 + 1029/1960 = 1589/1960 - 1589/1960 simplified gives 227/280
- So, 14/49 + 21/40 = 227/280
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