Add 5/42 and 30/75
5/42 + 30/75 is 109/210.
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,
5/42 = 5 × 25/42 × 25 = 125/1050 - Likewise, for the 2nd fraction, since 75 × 14 = 1050,
30/75 = 30 × 14/75 × 14 = 420/1050 - Add the two like fractions:
125/1050 + 420/1050 = 125 + 420/1050 = 545/1050 - 545/1050 simplified gives 109/210
- So, 5/42 + 30/75 = 109/210
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