Add 30/10 and 21/24
1st number: 3 0/10, 2nd number: 21/24
30/10 + 21/24 is 31/8.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 10 and 24 is 120
Next, find the equivalent fraction of both fractional numbers with denominator 120 - For the 1st fraction, since 10 × 12 = 120,
30/10 = 30 × 12/10 × 12 = 360/120 - Likewise, for the 2nd fraction, since 24 × 5 = 120,
21/24 = 21 × 5/24 × 5 = 105/120 - Add the two like fractions:
360/120 + 105/120 = 360 + 105/120 = 465/120 - 465/120 simplified gives 31/8
- So, 30/10 + 21/24 = 31/8
In mixed form: 37/8
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