Add 12/5 and 27/24
1st number: 2 2/5, 2nd number: 1 3/24
12/5 + 27/24 is 141/40.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 5 and 24 is 120
Next, find the equivalent fraction of both fractional numbers with denominator 120 - For the 1st fraction, since 5 × 24 = 120,
12/5 = 12 × 24/5 × 24 = 288/120 - Likewise, for the 2nd fraction, since 24 × 5 = 120,
27/24 = 27 × 5/24 × 5 = 135/120 - Add the two like fractions:
288/120 + 135/120 = 288 + 135/120 = 423/120 - 423/120 simplified gives 141/40
- So, 12/5 + 27/24 = 141/40
In mixed form: 321/40
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