Add 8/15 and 49/24
1st number: 8/15, 2nd number: 2 1/24
8/15 + 49/24 is 103/40.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 15 and 24 is 120
Next, find the equivalent fraction of both fractional numbers with denominator 120 - For the 1st fraction, since 15 × 8 = 120,
8/15 = 8 × 8/15 × 8 = 64/120 - Likewise, for the 2nd fraction, since 24 × 5 = 120,
49/24 = 49 × 5/24 × 5 = 245/120 - Add the two like fractions:
64/120 + 245/120 = 64 + 245/120 = 309/120 - 309/120 simplified gives 103/40
- So, 8/15 + 49/24 = 103/40
In mixed form: 223/40
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