Add 10/27 and 45/28, Solve 10/27 + 1 17/28 as a fraction

Add 10/27 and 45/28

1^st number: 10/27, 2^nd number: 1 17/28

10/27 + 45/28 is 1495/756.

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,
10/27 = 10 × 28/27 × 28 = 280/756
Likewise, for the 2nd fraction, since 28 × 27 = 756,
45/28 = 45 × 27/28 × 27 = 1215/756
Add the two like fractions:
280/756 + 1215/756 = 280 + 1215/756 = 1495/756
So, 10/27 + 45/28 = 1495/756
In mixed form: 1739/756

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