Add 49/12 and 49/42
1st number: 4 1/12, 2nd number: 1 7/42
49/12 + 49/42 is 21/4.
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,
49/12 = 49 × 7/12 × 7 = 343/84 - Likewise, for the 2nd fraction, since 42 × 2 = 84,
49/42 = 49 × 2/42 × 2 = 98/84 - Add the two like fractions:
343/84 + 98/84 = 343 + 98/84 = 441/84 - 441/84 simplified gives 21/4
- So, 49/12 + 49/42 = 21/4
In mixed form: 51/4
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