Add 42/75 and 21/16
1st number: 42/75, 2nd number: 1 5/16
42/75 + 21/16 is 749/400.
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,
42/75 = 42 × 16/75 × 16 = 672/1200 - Likewise, for the 2nd fraction, since 16 × 75 = 1200,
21/16 = 21 × 75/16 × 75 = 1575/1200 - Add the two like fractions:
672/1200 + 1575/1200 = 672 + 1575/1200 = 2247/1200 - 2247/1200 simplified gives 749/400
- So, 42/75 + 21/16 = 749/400
In mixed form: 1349/400
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