Add 35/12 and 40/21
1st number: 2 11/12, 2nd number: 1 19/21
35/12 + 40/21 is 135/28.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 12 and 21 is 84
Next, find the equivalent fraction of both fractional numbers with denominator 84 - For the 1st fraction, since 12 × 7 = 84,
35/12 = 35 × 7/12 × 7 = 245/84 - Likewise, for the 2nd fraction, since 21 × 4 = 84,
40/21 = 40 × 4/21 × 4 = 160/84 - Add the two like fractions:
245/84 + 160/84 = 245 + 160/84 = 405/84 - 405/84 simplified gives 135/28
- So, 35/12 + 40/21 = 135/28
In mixed form: 423/28
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