Add 35/84 and 7/3
1st number: 35/84, 2nd number: 2 1/3
35/84 + 7/3 is 11/4.
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,
35/84 = 35 × 1/84 × 1 = 35/84 - Likewise, for the 2nd fraction, since 3 × 28 = 84,
7/3 = 7 × 28/3 × 28 = 196/84 - Add the two like fractions:
35/84 + 196/84 = 35 + 196/84 = 231/84 - 231/84 simplified gives 11/4
- So, 35/84 + 7/3 = 11/4
In mixed form: 23/4
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