Add 30/36 and 7/35
30/36 + 7/35 is 31/30.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 36 and 35 is 1260
Next, find the equivalent fraction of both fractional numbers with denominator 1260 - For the 1st fraction, since 36 × 35 = 1260,
30/36 = 30 × 35/36 × 35 = 1050/1260 - Likewise, for the 2nd fraction, since 35 × 36 = 1260,
7/35 = 7 × 36/35 × 36 = 252/1260 - Add the two like fractions:
1050/1260 + 252/1260 = 1050 + 252/1260 = 1302/1260 - 1302/1260 simplified gives 31/30
- So, 30/36 + 7/35 = 31/30
In mixed form: 11/30
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