Add 30/27 and 10/40, Solve 1 3/27 + 10/40 as a fraction

Add 30/27 and 10/40

1^st number: 1 3/27, 2^nd number: 10/40

30/27 + 10/40 is 49/36.

Find the least common denominator or LCM of the two denominators:
LCM of 27 and 40 is 1080

Next, find the equivalent fraction of both fractional numbers with denominator 1080
For the 1st fraction, since 27 × 40 = 1080,
30/27 = 30 × 40/27 × 40 = 1200/1080
Likewise, for the 2nd fraction, since 40 × 27 = 1080,
10/40 = 10 × 27/40 × 27 = 270/1080
Add the two like fractions:
1200/1080 + 270/1080 = 1200 + 270/1080 = 1470/1080
1470/1080 simplified gives 49/36
So, 30/27 + 10/40 = 49/36
In mixed form: 113/36

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