Add 28/42 and 8/75
28/42 + 8/75 is 58/75.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 42 and 75 is 1050
Next, find the equivalent fraction of both fractional numbers with denominator 1050 - For the 1st fraction, since 42 × 25 = 1050,
28/42 = 28 × 25/42 × 25 = 700/1050 - Likewise, for the 2nd fraction, since 75 × 14 = 1050,
8/75 = 8 × 14/75 × 14 = 112/1050 - Add the two like fractions:
700/1050 + 112/1050 = 700 + 112/1050 = 812/1050 - 812/1050 simplified gives 58/75
- So, 28/42 + 8/75 = 58/75
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