Add 27/75 and 21/16
1st number: 27/75, 2nd number: 1 5/16
27/75 + 21/16 is 669/400.
Steps for adding fractions
- 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,
27/75 = 27 × 16/75 × 16 = 432/1200 - Likewise, for the 2nd fraction, since 16 × 75 = 1200,
21/16 = 21 × 75/16 × 75 = 1575/1200 - Add the two like fractions:
432/1200 + 1575/1200 = 432 + 1575/1200 = 2007/1200 - 2007/1200 simplified gives 669/400
- So, 27/75 + 21/16 = 669/400
In mixed form: 1269/400
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