Add 3/5 and 21/24
3/5 + 21/24 is 59/40.
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,
3/5 = 3 × 24/5 × 24 = 72/120 - Likewise, for the 2nd fraction, since 24 × 5 = 120,
21/24 = 21 × 5/24 × 5 = 105/120 - Add the two like fractions:
72/120 + 105/120 = 72 + 105/120 = 177/120 - 177/120 simplified gives 59/40
- So, 3/5 + 21/24 = 59/40
In mixed form: 119/40
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