Add 40/12 and 30/28
1st number: 3 4/12, 2nd number: 1 2/28
40/12 + 30/28 is 185/42.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 12 and 28 is 84
Next, find the equivalent fraction of both fractional numbers with denominator 84 - For the 1st fraction, since 12 × 7 = 84,
40/12 = 40 × 7/12 × 7 = 280/84 - Likewise, for the 2nd fraction, since 28 × 3 = 84,
30/28 = 30 × 3/28 × 3 = 90/84 - Add the two like fractions:
280/84 + 90/84 = 280 + 90/84 = 370/84 - 370/84 simplified gives 185/42
- So, 40/12 + 30/28 = 185/42
In mixed form: 417/42
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