Add 75/12 and 90/49
1st number: 6 3/12, 2nd number: 1 41/49
75/12 + 90/49 is 1585/196.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 12 and 49 is 588
Next, find the equivalent fraction of both fractional numbers with denominator 588 - For the 1st fraction, since 12 × 49 = 588,
75/12 = 75 × 49/12 × 49 = 3675/588 - Likewise, for the 2nd fraction, since 49 × 12 = 588,
90/49 = 90 × 12/49 × 12 = 1080/588 - Add the two like fractions:
3675/588 + 1080/588 = 3675 + 1080/588 = 4755/588 - 4755/588 simplified gives 1585/196
- So, 75/12 + 90/49 = 1585/196
In mixed form: 817/196
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