Add 75/84 and 45/49
75/84 + 45/49 is 355/196.
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,
45/49 = 45 × 12/49 × 12 = 540/588 - Add the two like fractions:
525/588 + 540/588 = 525 + 540/588 = 1065/588 - 1065/588 simplified gives 355/196
- So, 75/84 + 45/49 = 355/196
In mixed form: 1159/196
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