Add 30/35 and 12/42
30/35 + 12/42 is 8/7.
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,
12/42 = 12 × 5/42 × 5 = 60/210 - Add the two like fractions:
180/210 + 60/210 = 180 + 60/210 = 240/210 - 240/210 simplified gives 8/7
- So, 30/35 + 12/42 = 8/7
In mixed form: 11/7
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