Add 84/35 and 28/36
1st number: 2 14/35, 2nd number: 28/36
84/35 + 28/36 is 143/45.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 35 and 36 is 1260
Next, find the equivalent fraction of both fractional numbers with denominator 1260 - For the 1st fraction, since 35 × 36 = 1260,
84/35 = 84 × 36/35 × 36 = 3024/1260 - Likewise, for the 2nd fraction, since 36 × 35 = 1260,
28/36 = 28 × 35/36 × 35 = 980/1260 - Add the two like fractions:
3024/1260 + 980/1260 = 3024 + 980/1260 = 4004/1260 - 4004/1260 simplified gives 143/45
- So, 84/35 + 28/36 = 143/45
In mixed form: 38/45
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