Add 49/2 and 14/84, Solve 24 1/2 + 14/84 as a fraction

Add 49/2 and 14/84

1^st number: 24 1/2, 2^nd number: 14/84

49/2 + 14/84 is 74/3.

Find the least common denominator or LCM of the two denominators:
LCM of 2 and 84 is 84

Next, find the equivalent fraction of both fractional numbers with denominator 84
For the 1st fraction, since 2 × 42 = 84,
49/2 = 49 × 42/2 × 42 = 2058/84
Likewise, for the 2nd fraction, since 84 × 1 = 84,
14/84 = 14 × 1/84 × 1 = 14/84
Add the two like fractions:
2058/84 + 14/84 = 2058 + 14/84 = 2072/84
2072/84 simplified gives 74/3
So, 49/2 + 14/84 = 74/3
In mixed form: 242/3

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