Add 15/30 and 30/42
15/30 + 30/42 is 17/14.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 42 is 210
Next, find the equivalent fraction of both fractional numbers with denominator 210 - For the 1st fraction, since 30 × 7 = 210,
15/30 = 15 × 7/30 × 7 = 105/210 - Likewise, for the 2nd fraction, since 42 × 5 = 210,
30/42 = 30 × 5/42 × 5 = 150/210 - Add the two like fractions:
105/210 + 150/210 = 105 + 150/210 = 255/210 - 255/210 simplified gives 17/14
- So, 15/30 + 30/42 = 17/14
In mixed form: 13/14
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