Add 75/84 and 10/49
75/84 + 10/49 is 215/196.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 84 and 49 is 588
Next, find the equivalent fraction of both fractional numbers with denominator 588 - For the 1st fraction, since 84 × 7 = 588,
75/84 = 75 × 7/84 × 7 = 525/588 - Likewise, for the 2nd fraction, since 49 × 12 = 588,
10/49 = 10 × 12/49 × 12 = 120/588 - Add the two like fractions:
525/588 + 120/588 = 525 + 120/588 = 645/588 - 645/588 simplified gives 215/196
- So, 75/84 + 10/49 = 215/196
In mixed form: 119/196
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