Add 1/42 and 84/27
1st number: 1/42, 2nd number: 3 3/27
1/42 + 84/27 is 395/126.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 42 and 27 is 378
Next, find the equivalent fraction of both fractional numbers with denominator 378 - For the 1st fraction, since 42 × 9 = 378,
1/42 = 1 × 9/42 × 9 = 9/378 - Likewise, for the 2nd fraction, since 27 × 14 = 378,
84/27 = 84 × 14/27 × 14 = 1176/378 - Add the two like fractions:
9/378 + 1176/378 = 9 + 1176/378 = 1185/378 - 1185/378 simplified gives 395/126
- So, 1/42 + 84/27 = 395/126
In mixed form: 317/126
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