Add 21/8 and 40/30
1st number: 2 5/8, 2nd number: 1 10/30
21/8 + 40/30 is 95/24.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 8 and 30 is 120
Next, find the equivalent fraction of both fractional numbers with denominator 120 - For the 1st fraction, since 8 × 15 = 120,
21/8 = 21 × 15/8 × 15 = 315/120 - Likewise, for the 2nd fraction, since 30 × 4 = 120,
40/30 = 40 × 4/30 × 4 = 160/120 - Add the two like fractions:
315/120 + 160/120 = 315 + 160/120 = 475/120 - 475/120 simplified gives 95/24
- So, 21/8 + 40/30 = 95/24
In mixed form: 323/24
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