Add 32/15 and 49/24
1st number: 2 2/15, 2nd number: 2 1/24
32/15 + 49/24 is 167/40.
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,
32/15 = 32 × 8/15 × 8 = 256/120 - Likewise, for the 2nd fraction, since 24 × 5 = 120,
49/24 = 49 × 5/24 × 5 = 245/120 - Add the two like fractions:
256/120 + 245/120 = 256 + 245/120 = 501/120 - 501/120 simplified gives 167/40
- So, 32/15 + 49/24 = 167/40
In mixed form: 47/40
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