Add 27/30 and 21/24
27/30 + 21/24 is 71/40.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 24 is 120
Next, find the equivalent fraction of both fractional numbers with denominator 120 - For the 1st fraction, since 30 × 4 = 120,
27/30 = 27 × 4/30 × 4 = 108/120 - Likewise, for the 2nd fraction, since 24 × 5 = 120,
21/24 = 21 × 5/24 × 5 = 105/120 - Add the two like fractions:
108/120 + 105/120 = 108 + 105/120 = 213/120 - 213/120 simplified gives 71/40
- So, 27/30 + 21/24 = 71/40
In mixed form: 131/40
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