Add 9/40 and 35/49
9/40 + 35/49 is 263/280.
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,
35/49 = 35 × 40/49 × 40 = 1400/1960 - Add the two like fractions:
441/1960 + 1400/1960 = 441 + 1400/1960 = 1841/1960 - 1841/1960 simplified gives 263/280
- So, 9/40 + 35/49 = 263/280
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