Add 8/42 and 49/75
8/42 + 49/75 is 443/525.
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,
8/42 = 8 × 25/42 × 25 = 200/1050 - Likewise, for the 2nd fraction, since 75 × 14 = 1050,
49/75 = 49 × 14/75 × 14 = 686/1050 - Add the two like fractions:
200/1050 + 686/1050 = 200 + 686/1050 = 886/1050 - 886/1050 simplified gives 443/525
- So, 8/42 + 49/75 = 443/525
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