Add 35/75 and 28/40
35/75 + 28/40 is 7/6.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 40 is 600
Next, find the equivalent fraction of both fractional numbers with denominator 600 - For the 1st fraction, since 75 × 8 = 600,
35/75 = 35 × 8/75 × 8 = 280/600 - Likewise, for the 2nd fraction, since 40 × 15 = 600,
28/40 = 28 × 15/40 × 15 = 420/600 - Add the two like fractions:
280/600 + 420/600 = 280 + 420/600 = 700/600 - 700/600 simplified gives 7/6
- So, 35/75 + 28/40 = 7/6
In mixed form: 11/6
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