Add 35/27 and 45/28
1st number: 1 8/27, 2nd number: 1 17/28
35/27 + 45/28 is 2195/756.
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,
35/27 = 35 × 28/27 × 28 = 980/756 - Likewise, for the 2nd fraction, since 28 × 27 = 756,
45/28 = 45 × 27/28 × 27 = 1215/756 - Add the two like fractions:
980/756 + 1215/756 = 980 + 1215/756 = 2195/756 - So, 35/27 + 45/28 = 2195/756
In mixed form: 2683/756
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