Add 40/12 and 24/35, Solve 3 4/12 + 24/35 as a fraction

Add 40/12 and 24/35

1^st number: 3 4/12, 2^nd number: 24/35

40/12 + 24/35 is 422/105.

Find the least common denominator or LCM of the two denominators:
LCM of 12 and 35 is 420

Next, find the equivalent fraction of both fractional numbers with denominator 420
For the 1st fraction, since 12 × 35 = 420,
40/12 = 40 × 35/12 × 35 = 1400/420
Likewise, for the 2nd fraction, since 35 × 12 = 420,
24/35 = 24 × 12/35 × 12 = 288/420
Add the two like fractions:
1400/420 + 288/420 = 1400 + 288/420 = 1688/420
1688/420 simplified gives 422/105
So, 40/12 + 24/35 = 422/105
In mixed form: 42/105

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