Add 8/15 and 42/21
1st number: 8/15, 2nd number: 2 0/21
8/15 + 42/21 is 38/15.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 15 and 21 is 105
Next, find the equivalent fraction of both fractional numbers with denominator 105 - For the 1st fraction, since 15 × 7 = 105,
8/15 = 8 × 7/15 × 7 = 56/105 - Likewise, for the 2nd fraction, since 21 × 5 = 105,
42/21 = 42 × 5/21 × 5 = 210/105 - Add the two like fractions:
56/105 + 210/105 = 56 + 210/105 = 266/105 - 266/105 simplified gives 38/15
- So, 8/15 + 42/21 = 38/15
In mixed form: 28/15
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