Add 75/2 and 28/21, Solve 37 1/2 + 1 7/21 as a fraction

Add 75/2 and 28/21

1^st number: 37 1/2, 2^nd number: 1 7/21

75/2 + 28/21 is 233/6.

Find the least common denominator or LCM of the two denominators:
LCM of 2 and 21 is 42

Next, find the equivalent fraction of both fractional numbers with denominator 42
For the 1st fraction, since 2 × 21 = 42,
75/2 = 75 × 21/2 × 21 = 1575/42
Likewise, for the 2nd fraction, since 21 × 2 = 42,
28/21 = 28 × 2/21 × 2 = 56/42
Add the two like fractions:
1575/42 + 56/42 = 1575 + 56/42 = 1631/42
1631/42 simplified gives 233/6
So, 75/2 + 28/21 = 233/6
In mixed form: 385/6

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