Add 30/84 and 40/3
1st number: 30/84, 2nd number: 13 1/3
30/84 + 40/3 is 575/42.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 84 and 3 is 84
Next, find the equivalent fraction of both fractional numbers with denominator 84 - For the 1st fraction, since 84 × 1 = 84,
30/84 = 30 × 1/84 × 1 = 30/84 - Likewise, for the 2nd fraction, since 3 × 28 = 84,
40/3 = 40 × 28/3 × 28 = 1120/84 - Add the two like fractions:
30/84 + 1120/84 = 30 + 1120/84 = 1150/84 - 1150/84 simplified gives 575/42
- So, 30/84 + 40/3 = 575/42
In mixed form: 1329/42
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