Add 49/14 and 84/27
1st number: 3 7/14, 2nd number: 3 3/27
49/14 + 84/27 is 119/18.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 14 and 27 is 378
Next, find the equivalent fraction of both fractional numbers with denominator 378 - For the 1st fraction, since 14 × 27 = 378,
49/14 = 49 × 27/14 × 27 = 1323/378 - Likewise, for the 2nd fraction, since 27 × 14 = 378,
84/27 = 84 × 14/27 × 14 = 1176/378 - Add the two like fractions:
1323/378 + 1176/378 = 1323 + 1176/378 = 2499/378 - 2499/378 simplified gives 119/18
- So, 49/14 + 84/27 = 119/18
In mixed form: 611/18
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