Add 30/36 and 30/35
30/36 + 30/35 is 71/42.
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,
30/35 = 30 × 36/35 × 36 = 1080/1260 - Add the two like fractions:
1050/1260 + 1080/1260 = 1050 + 1080/1260 = 2130/1260 - 2130/1260 simplified gives 71/42
- So, 30/36 + 30/35 = 71/42
In mixed form: 129/42
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