Add 27/12 and 98/49
1st number: 2 3/12, 2nd number: 2 0/49
27/12 + 98/49 is 17/4.
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,
27/12 = 27 × 49/12 × 49 = 1323/588 - Likewise, for the 2nd fraction, since 49 × 12 = 588,
98/49 = 98 × 12/49 × 12 = 1176/588 - Add the two like fractions:
1323/588 + 1176/588 = 1323 + 1176/588 = 2499/588 - 2499/588 simplified gives 17/4
- So, 27/12 + 98/49 = 17/4
In mixed form: 41/4
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