Add 21/75 and 45/16, Solve 21/75 + 2 13/16 as a fraction

Add 21/75 and 45/16

1^st number: 21/75, 2^nd number: 2 13/16

21/75 + 45/16 is 1237/400.

Find the least common denominator or LCM of the two denominators:
LCM of 75 and 16 is 1200

Next, find the equivalent fraction of both fractional numbers with denominator 1200
For the 1st fraction, since 75 × 16 = 1200,
21/75 = 21 × 16/75 × 16 = 336/1200
Likewise, for the 2nd fraction, since 16 × 75 = 1200,
45/16 = 45 × 75/16 × 75 = 3375/1200
Add the two like fractions:
336/1200 + 3375/1200 = 336 + 3375/1200 = 3711/1200
3711/1200 simplified gives 1237/400
So, 21/75 + 45/16 = 1237/400
In mixed form: 337/400

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