Add 3/40 and 40/49
3/40 + 40/49 is 1747/1960.
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,
3/40 = 3 × 49/40 × 49 = 147/1960 - Likewise, for the 2nd fraction, since 49 × 40 = 1960,
40/49 = 40 × 40/49 × 40 = 1600/1960 - Add the two like fractions:
147/1960 + 1600/1960 = 147 + 1600/1960 = 1747/1960 - So, 3/40 + 40/49 = 1747/1960
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