Add 75/12 and 30/98
1st number: 6 3/12, 2nd number: 30/98
75/12 + 30/98 is 1285/196.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 12 and 98 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 98 × 6 = 588,
30/98 = 30 × 6/98 × 6 = 180/588 - Add the two like fractions:
3675/588 + 180/588 = 3675 + 180/588 = 3855/588 - 3855/588 simplified gives 1285/196
- So, 75/12 + 30/98 = 1285/196
In mixed form: 6109/196
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