Add 4/40 and 75/27, Solve 4/40 + 2 21/27 as a fraction

Add 4/40 and 75/27

1^st number: 4/40, 2^nd number: 2 21/27

4/40 + 75/27 is 259/90.

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

Next, find the equivalent fraction of both fractional numbers with denominator 1080
For the 1st fraction, since 40 × 27 = 1080,
4/40 = 4 × 27/40 × 27 = 108/1080
Likewise, for the 2nd fraction, since 27 × 40 = 1080,
75/27 = 75 × 40/27 × 40 = 3000/1080
Add the two like fractions:
108/1080 + 3000/1080 = 108 + 3000/1080 = 3108/1080
3108/1080 simplified gives 259/90
So, 4/40 + 75/27 = 259/90
In mixed form: 279/90

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