Add 75/2 and 4/84, Solve 37 1/2 + 4/84 as a fraction

Add 75/2 and 4/84

1^st number: 37 1/2, 2^nd number: 4/84

75/2 + 4/84 is 1577/42.

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,
75/2 = 75 × 42/2 × 42 = 3150/84
Likewise, for the 2nd fraction, since 84 × 1 = 84,
4/84 = 4 × 1/84 × 1 = 4/84
Add the two like fractions:
3150/84 + 4/84 = 3150 + 4/84 = 3154/84
3154/84 simplified gives 1577/42
So, 75/2 + 4/84 = 1577/42
In mixed form: 3723/42

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