Add 1/35 and 35/36
1/35 + 35/36 is 1261/1260.
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,
1/35 = 1 × 36/35 × 36 = 36/1260 - Likewise, for the 2nd fraction, since 36 × 35 = 1260,
35/36 = 35 × 35/36 × 35 = 1225/1260 - Add the two like fractions:
36/1260 + 1225/1260 = 36 + 1225/1260 = 1261/1260 - So, 1/35 + 35/36 = 1261/1260
In mixed form: 11/1260
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