Add 21/75 and 6/42
21/75 + 6/42 is 74/175.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 42 is 1050
Next, find the equivalent fraction of both fractional numbers with denominator 1050 - For the 1st fraction, since 75 × 14 = 1050,
21/75 = 21 × 14/75 × 14 = 294/1050 - Likewise, for the 2nd fraction, since 42 × 25 = 1050,
6/42 = 6 × 25/42 × 25 = 150/1050 - Add the two like fractions:
294/1050 + 150/1050 = 294 + 150/1050 = 444/1050 - 444/1050 simplified gives 74/175
- So, 21/75 + 6/42 = 74/175
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