Add 10/27 and 90/28, Solve 10/27 + 3 6/28 as a fraction

Add 10/27 and 90/28

1^st number: 10/27, 2^nd number: 3 6/28

10/27 + 90/28 is 1355/378.

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,
90/28 = 90 × 27/28 × 27 = 2430/756
Add the two like fractions:
280/756 + 2430/756 = 280 + 2430/756 = 2710/756
2710/756 simplified gives 1355/378
So, 10/27 + 90/28 = 1355/378
In mixed form: 3221/378

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