Add 40/75 and 49/80
40/75 + 49/80 is 55/48.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 80 is 1200
Next, find the equivalent fraction of both fractional numbers with denominator 1200 - For the 1st fraction, since 75 × 16 = 1200,
40/75 = 40 × 16/75 × 16 = 640/1200 - Likewise, for the 2nd fraction, since 80 × 15 = 1200,
49/80 = 49 × 15/80 × 15 = 735/1200 - Add the two like fractions:
640/1200 + 735/1200 = 640 + 735/1200 = 1375/1200 - 1375/1200 simplified gives 55/48
- So, 40/75 + 49/80 = 55/48
In mixed form: 17/48
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