Add 30/12 and 45/42
1st number: 2 6/12, 2nd number: 1 3/42
30/12 + 45/42 is 25/7.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 12 and 42 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 42 × 2 = 84,
45/42 = 45 × 2/42 × 2 = 90/84 - Add the two like fractions:
210/84 + 90/84 = 210 + 90/84 = 300/84 - 300/84 simplified gives 25/7
- So, 30/12 + 45/42 = 25/7
In mixed form: 34/7
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