Add 21/2 and 21/75, Solve 10 1/2 + 21/75 as a fraction

Add 21/2 and 21/75

1^st number: 10 1/2, 2^nd number: 21/75

21/2 + 21/75 is 539/50.

Find the least common denominator or LCM of the two denominators:
LCM of 2 and 75 is 150

Next, find the equivalent fraction of both fractional numbers with denominator 150
For the 1st fraction, since 2 × 75 = 150,
21/2 = 21 × 75/2 × 75 = 1575/150
Likewise, for the 2nd fraction, since 75 × 2 = 150,
21/75 = 21 × 2/75 × 2 = 42/150
Add the two like fractions:
1575/150 + 42/150 = 1575 + 42/150 = 1617/150
1617/150 simplified gives 539/50
So, 21/2 + 21/75 = 539/50
In mixed form: 1039/50

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