Add 40/84 and 70/30, Solve 40/84 + 2 10/30 as a fraction

Add 40/84 and 70/30

1^st number: 40/84, 2^nd number: 2 10/30

40/84 + 70/30 is 59/21.

Find the least common denominator or LCM of the two denominators:
LCM of 84 and 30 is 420

Next, find the equivalent fraction of both fractional numbers with denominator 420
For the 1st fraction, since 84 × 5 = 420,
40/84 = 40 × 5/84 × 5 = 200/420
Likewise, for the 2nd fraction, since 30 × 14 = 420,
70/30 = 70 × 14/30 × 14 = 980/420
Add the two like fractions:
200/420 + 980/420 = 200 + 980/420 = 1180/420
1180/420 simplified gives 59/21
So, 40/84 + 70/30 = 59/21
In mixed form: 217/21

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