Add 27/5 and 40/24
1st number: 5 2/5, 2nd number: 1 16/24
27/5 + 40/24 is 106/15.
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,
27/5 = 27 × 24/5 × 24 = 648/120 - Likewise, for the 2nd fraction, since 24 × 5 = 120,
40/24 = 40 × 5/24 × 5 = 200/120 - Add the two like fractions:
648/120 + 200/120 = 648 + 200/120 = 848/120 - 848/120 simplified gives 106/15
- So, 27/5 + 40/24 = 106/15
In mixed form: 71/15
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