Add 49/24 and 75/56, Solve 2 1/24 + 1 19/56 as a fraction

Add 49/24 and 75/56

1^st number: 2 1/24, 2^nd number: 1 19/56

49/24 + 75/56 is 71/21.

Find the least common denominator or LCM of the two denominators:
LCM of 24 and 56 is 168

Next, find the equivalent fraction of both fractional numbers with denominator 168
For the 1st fraction, since 24 × 7 = 168,
49/24 = 49 × 7/24 × 7 = 343/168
Likewise, for the 2nd fraction, since 56 × 3 = 168,
75/56 = 75 × 3/56 × 3 = 225/168
Add the two like fractions:
343/168 + 225/168 = 343 + 225/168 = 568/168
568/168 simplified gives 71/21
So, 49/24 + 75/56 = 71/21
In mixed form: 38/21

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