Add 32/15 and 30/42
1st number: 2 2/15, 2nd number: 30/42
32/15 + 30/42 is 299/105.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 15 and 42 is 210
Next, find the equivalent fraction of both fractional numbers with denominator 210 - For the 1st fraction, since 15 × 14 = 210,
32/15 = 32 × 14/15 × 14 = 448/210 - Likewise, for the 2nd fraction, since 42 × 5 = 210,
30/42 = 30 × 5/42 × 5 = 150/210 - Add the two like fractions:
448/210 + 150/210 = 448 + 150/210 = 598/210 - 598/210 simplified gives 299/105
- So, 32/15 + 30/42 = 299/105
In mixed form: 289/105
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