Add 30/35 and 15/42
30/35 + 15/42 is 17/14.
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,
15/42 = 15 × 5/42 × 5 = 75/210 - Add the two like fractions:
180/210 + 75/210 = 180 + 75/210 = 255/210 - 255/210 simplified gives 17/14
- So, 30/35 + 15/42 = 17/14
In mixed form: 13/14
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