Add 36/12 and 30/21
1st number: 3 0/12, 2nd number: 1 9/21
36/12 + 30/21 is 31/7.
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,
36/12 = 36 × 7/12 × 7 = 252/84 - Likewise, for the 2nd fraction, since 21 × 4 = 84,
30/21 = 30 × 4/21 × 4 = 120/84 - Add the two like fractions:
252/84 + 120/84 = 252 + 120/84 = 372/84 - 372/84 simplified gives 31/7
- So, 36/12 + 30/21 = 31/7
In mixed form: 43/7
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