Add 35/84 and 84/75
1st number: 35/84, 2nd number: 1 9/75
35/84 + 84/75 is 461/300.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 84 and 75 is 2100
Next, find the equivalent fraction of both fractional numbers with denominator 2100 - For the 1st fraction, since 84 × 25 = 2100,
35/84 = 35 × 25/84 × 25 = 875/2100 - Likewise, for the 2nd fraction, since 75 × 28 = 2100,
84/75 = 84 × 28/75 × 28 = 2352/2100 - Add the two like fractions:
875/2100 + 2352/2100 = 875 + 2352/2100 = 3227/2100 - 3227/2100 simplified gives 461/300
- So, 35/84 + 84/75 = 461/300
In mixed form: 1161/300
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