Add 30/35 and 32/42
30/35 + 32/42 is 34/21.
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,
32/42 = 32 × 5/42 × 5 = 160/210 - Add the two like fractions:
180/210 + 160/210 = 180 + 160/210 = 340/210 - 340/210 simplified gives 34/21
- So, 30/35 + 32/42 = 34/21
In mixed form: 113/21
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