Add 42/12 and 1/21
1st number: 3 6/12, 2nd number: 1/21
42/12 + 1/21 is 149/42.
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,
42/12 = 42 × 7/12 × 7 = 294/84 - Likewise, for the 2nd fraction, since 21 × 4 = 84,
1/21 = 1 × 4/21 × 4 = 4/84 - Add the two like fractions:
294/84 + 4/84 = 294 + 4/84 = 298/84 - 298/84 simplified gives 149/42
- So, 42/12 + 1/21 = 149/42
In mixed form: 323/42
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