Add 36/84 and 49/30, Solve 36/84 + 1 19/30 as a fraction

Add 36/84 and 49/30

1^st number: 36/84, 2^nd number: 1 19/30

36/84 + 49/30 is 433/210.

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,
36/84 = 36 × 5/84 × 5 = 180/420
Likewise, for the 2nd fraction, since 30 × 14 = 420,
49/30 = 49 × 14/30 × 14 = 686/420
Add the two like fractions:
180/420 + 686/420 = 180 + 686/420 = 866/420
866/420 simplified gives 433/210
So, 36/84 + 49/30 = 433/210
In mixed form: 213/210

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