Add 27/14 and 84/27
1st number: 1 13/14, 2nd number: 3 3/27
27/14 + 84/27 is 635/126.
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,
27/14 = 27 × 27/14 × 27 = 729/378 - Likewise, for the 2nd fraction, since 27 × 14 = 378,
84/27 = 84 × 14/27 × 14 = 1176/378 - Add the two like fractions:
729/378 + 1176/378 = 729 + 1176/378 = 1905/378 - 1905/378 simplified gives 635/126
- So, 27/14 + 84/27 = 635/126
In mixed form: 55/126
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