Add 30/12 and 75/21
1st number: 2 6/12, 2nd number: 3 12/21
30/12 + 75/21 is 85/14.
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,
30/12 = 30 × 7/12 × 7 = 210/84 - Likewise, for the 2nd fraction, since 21 × 4 = 84,
75/21 = 75 × 4/21 × 4 = 300/84 - Add the two like fractions:
210/84 + 300/84 = 210 + 300/84 = 510/84 - 510/84 simplified gives 85/14
- So, 30/12 + 75/21 = 85/14
In mixed form: 61/14
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