Add 40/75 and 35/12, Solve 40/75 + 2 11/12 as a fraction

Add 40/75 and 35/12

1^st number: 40/75, 2^nd number: 2 11/12

40/75 + 35/12 is 69/20.

Find the least common denominator or LCM of the two denominators:
LCM of 75 and 12 is 300

Next, find the equivalent fraction of both fractional numbers with denominator 300
For the 1st fraction, since 75 × 4 = 300,
40/75 = 40 × 4/75 × 4 = 160/300
Likewise, for the 2nd fraction, since 12 × 25 = 300,
35/12 = 35 × 25/12 × 25 = 875/300
Add the two like fractions:
160/300 + 875/300 = 160 + 875/300 = 1035/300
1035/300 simplified gives 69/20
So, 40/75 + 35/12 = 69/20
In mixed form: 39/20

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