Add 42/75 and 7/16
42/75 + 7/16 is 399/400.
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,
7/16 = 7 × 75/16 × 75 = 525/1200 - Add the two like fractions:
672/1200 + 525/1200 = 672 + 525/1200 = 1197/1200 - 1197/1200 simplified gives 399/400
- So, 42/75 + 7/16 = 399/400
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