Add 35/40 and 10/75
35/40 + 10/75 is 121/120.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 40 and 75 is 600
Next, find the equivalent fraction of both fractional numbers with denominator 600 - For the 1st fraction, since 40 × 15 = 600,
35/40 = 35 × 15/40 × 15 = 525/600 - Likewise, for the 2nd fraction, since 75 × 8 = 600,
10/75 = 10 × 8/75 × 8 = 80/600 - Add the two like fractions:
525/600 + 80/600 = 525 + 80/600 = 605/600 - 605/600 simplified gives 121/120
- So, 35/40 + 10/75 = 121/120
In mixed form: 11/120
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