Add 56/84 and 49/30, Solve 56/84 + 1 19/30 as a fraction

Add 56/84 and 49/30

1^st number: 56/84, 2^nd number: 1 19/30

56/84 + 49/30 is 23/10.

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,
56/84 = 56 × 5/84 × 5 = 280/420
Likewise, for the 2nd fraction, since 30 × 14 = 420,
49/30 = 49 × 14/30 × 14 = 686/420
Add the two like fractions:
280/420 + 686/420 = 280 + 686/420 = 966/420
966/420 simplified gives 23/10
So, 56/84 + 49/30 = 23/10
In mixed form: 23/10

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