Add 30/35 and 84/42
1st number: 30/35, 2nd number: 2 0/42
30/35 + 84/42 is 20/7.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 35 and 42 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 42 × 5 = 210,
84/42 = 84 × 5/42 × 5 = 420/210 - Add the two like fractions:
180/210 + 420/210 = 180 + 420/210 = 600/210 - 600/210 simplified gives 20/7
- So, 30/35 + 84/42 = 20/7
In mixed form: 26/7
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