Add 30/84 and 84/9
1st number: 30/84, 2nd number: 9 3/9
30/84 + 84/9 is 407/42.
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,
30/84 = 30 × 3/84 × 3 = 90/252 - Likewise, for the 2nd fraction, since 9 × 28 = 252,
84/9 = 84 × 28/9 × 28 = 2352/252 - Add the two like fractions:
90/252 + 2352/252 = 90 + 2352/252 = 2442/252 - 2442/252 simplified gives 407/42
- So, 30/84 + 84/9 = 407/42
In mixed form: 929/42
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