Add 40/70 and 30/75
40/70 + 30/75 is 34/35.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 70 and 75 is 1050
Next, find the equivalent fraction of both fractional numbers with denominator 1050 - For the 1st fraction, since 70 × 15 = 1050,
40/70 = 40 × 15/70 × 15 = 600/1050 - Likewise, for the 2nd fraction, since 75 × 14 = 1050,
30/75 = 30 × 14/75 × 14 = 420/1050 - Add the two like fractions:
600/1050 + 420/1050 = 600 + 420/1050 = 1020/1050 - 1020/1050 simplified gives 34/35
- So, 40/70 + 30/75 = 34/35
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