Add 35/75 and 27/40
35/75 + 27/40 is 137/120.
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,
27/40 = 27 × 15/40 × 15 = 405/600 - Add the two like fractions:
280/600 + 405/600 = 280 + 405/600 = 685/600 - 685/600 simplified gives 137/120
- So, 35/75 + 27/40 = 137/120
In mixed form: 117/120
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