Add 49/42 and 84/27
1st number: 1 7/42, 2nd number: 3 3/27
49/42 + 84/27 is 77/18.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 42 and 27 is 378
Next, find the equivalent fraction of both fractional numbers with denominator 378 - For the 1st fraction, since 42 × 9 = 378,
49/42 = 49 × 9/42 × 9 = 441/378 - Likewise, for the 2nd fraction, since 27 × 14 = 378,
84/27 = 84 × 14/27 × 14 = 1176/378 - Add the two like fractions:
441/378 + 1176/378 = 441 + 1176/378 = 1617/378 - 1617/378 simplified gives 77/18
- So, 49/42 + 84/27 = 77/18
In mixed form: 45/18
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