Add 30/80 and 40/75
30/80 + 40/75 is 109/120.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 80 and 75 is 1200
Next, find the equivalent fraction of both fractional numbers with denominator 1200 - For the 1st fraction, since 80 × 15 = 1200,
30/80 = 30 × 15/80 × 15 = 450/1200 - Likewise, for the 2nd fraction, since 75 × 16 = 1200,
40/75 = 40 × 16/75 × 16 = 640/1200 - Add the two like fractions:
450/1200 + 640/1200 = 450 + 640/1200 = 1090/1200 - 1090/1200 simplified gives 109/120
- So, 30/80 + 40/75 = 109/120
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