Add 30/35 and 35/36
30/35 + 35/36 is 461/252.
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,
30/35 = 30 × 36/35 × 36 = 1080/1260 - Likewise, for the 2nd fraction, since 36 × 35 = 1260,
35/36 = 35 × 35/36 × 35 = 1225/1260 - Add the two like fractions:
1080/1260 + 1225/1260 = 1080 + 1225/1260 = 2305/1260 - 2305/1260 simplified gives 461/252
- So, 30/35 + 35/36 = 461/252
In mixed form: 1209/252
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