Add 40/12 and 27/70, Solve 3 4/12 + 27/70 as a fraction

Add 40/12 and 27/70

1^st number: 3 4/12, 2^nd number: 27/70

40/12 + 27/70 is 781/210.

Find the least common denominator or LCM of the two denominators:
LCM of 12 and 70 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 70 × 6 = 420,
27/70 = 27 × 6/70 × 6 = 162/420
Add the two like fractions:
1400/420 + 162/420 = 1400 + 162/420 = 1562/420
1562/420 simplified gives 781/210
So, 40/12 + 27/70 = 781/210
In mixed form: 3151/210

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