Add 40/12 and 21/49
1st number: 3 4/12, 2nd number: 21/49
40/12 + 21/49 is 79/21.
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,
40/12 = 40 × 49/12 × 49 = 1960/588 - Likewise, for the 2nd fraction, since 49 × 12 = 588,
21/49 = 21 × 12/49 × 12 = 252/588 - Add the two like fractions:
1960/588 + 252/588 = 1960 + 252/588 = 2212/588 - 2212/588 simplified gives 79/21
- So, 40/12 + 21/49 = 79/21
In mixed form: 316/21
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