Add 21/14 and 28/75, Solve 1 7/14 + 28/75 as a fraction

Add 21/14 and 28/75

1^st number: 1 7/14, 2^nd number: 28/75

21/14 + 28/75 is 281/150.

Find the least common denominator or LCM of the two denominators:
LCM of 14 and 75 is 1050

Next, find the equivalent fraction of both fractional numbers with denominator 1050
For the 1st fraction, since 14 × 75 = 1050,
21/14 = 21 × 75/14 × 75 = 1575/1050
Likewise, for the 2nd fraction, since 75 × 14 = 1050,
28/75 = 28 × 14/75 × 14 = 392/1050
Add the two like fractions:
1575/1050 + 392/1050 = 1575 + 392/1050 = 1967/1050
1967/1050 simplified gives 281/150
So, 21/14 + 28/75 = 281/150
In mixed form: 1131/150

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