Add 3/84 and 42/9
1st number: 3/84, 2nd number: 4 6/9
3/84 + 42/9 is 395/84.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 84 and 9 is 252
Next, find the equivalent fraction of both fractional numbers with denominator 252 - For the 1st fraction, since 84 × 3 = 252,
3/84 = 3 × 3/84 × 3 = 9/252 - Likewise, for the 2nd fraction, since 9 × 28 = 252,
42/9 = 42 × 28/9 × 28 = 1176/252 - Add the two like fractions:
9/252 + 1176/252 = 9 + 1176/252 = 1185/252 - 1185/252 simplified gives 395/84
- So, 3/84 + 42/9 = 395/84
In mixed form: 459/84
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