Add 30/35 and 35/6
1st number: 30/35, 2nd number: 5 5/6
30/35 + 35/6 is 281/42.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 35 and 6 is 210
Next, find the equivalent fraction of both fractional numbers with denominator 210 - For the 1st fraction, since 35 × 6 = 210,
30/35 = 30 × 6/35 × 6 = 180/210 - Likewise, for the 2nd fraction, since 6 × 35 = 210,
35/6 = 35 × 35/6 × 35 = 1225/210 - Add the two like fractions:
180/210 + 1225/210 = 180 + 1225/210 = 1405/210 - 1405/210 simplified gives 281/42
- So, 30/35 + 35/6 = 281/42
In mixed form: 629/42
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