Add 9/40 and 21/49
9/40 + 21/49 is 183/280.
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,
9/40 = 9 × 49/40 × 49 = 441/1960 - Likewise, for the 2nd fraction, since 49 × 40 = 1960,
21/49 = 21 × 40/49 × 40 = 840/1960 - Add the two like fractions:
441/1960 + 840/1960 = 441 + 840/1960 = 1281/1960 - 1281/1960 simplified gives 183/280
- So, 9/40 + 21/49 = 183/280
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