Add 49/27 and 27/28
1st number: 1 22/27, 2nd number: 27/28
49/27 + 27/28 is 2101/756.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 28 is 756
Next, find the equivalent fraction of both fractional numbers with denominator 756 - For the 1st fraction, since 27 × 28 = 756,
49/27 = 49 × 28/27 × 28 = 1372/756 - Likewise, for the 2nd fraction, since 28 × 27 = 756,
27/28 = 27 × 27/28 × 27 = 729/756 - Add the two like fractions:
1372/756 + 729/756 = 1372 + 729/756 = 2101/756 - So, 49/27 + 27/28 = 2101/756
In mixed form: 2589/756
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