Add 35/84 and 45/18
1st number: 35/84, 2nd number: 2 9/18
35/84 + 45/18 is 35/12.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 84 and 18 is 252
Next, find the equivalent fraction of both fractional numbers with denominator 252 - For the 1st fraction, since 84 × 3 = 252,
35/84 = 35 × 3/84 × 3 = 105/252 - Likewise, for the 2nd fraction, since 18 × 14 = 252,
45/18 = 45 × 14/18 × 14 = 630/252 - Add the two like fractions:
105/252 + 630/252 = 105 + 630/252 = 735/252 - 735/252 simplified gives 35/12
- So, 35/84 + 45/18 = 35/12
In mixed form: 211/12
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