Add 35/84 and 9/4
1st number: 35/84, 2nd number: 2 1/4
35/84 + 9/4 is 8/3.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 84 and 4 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 4 × 21 = 84,
9/4 = 9 × 21/4 × 21 = 189/84 - Add the two like fractions:
35/84 + 189/84 = 35 + 189/84 = 224/84 - 224/84 simplified gives 8/3
- So, 35/84 + 9/4 = 8/3
In mixed form: 22/3
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