Add 21/8 and 45/54
1st number: 2 5/8, 2nd number: 45/54
21/8 + 45/54 is 83/24.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 8 and 54 is 216
Next, find the equivalent fraction of both fractional numbers with denominator 216 - For the 1st fraction, since 8 × 27 = 216,
21/8 = 21 × 27/8 × 27 = 567/216 - Likewise, for the 2nd fraction, since 54 × 4 = 216,
45/54 = 45 × 4/54 × 4 = 180/216 - Add the two like fractions:
567/216 + 180/216 = 567 + 180/216 = 747/216 - 747/216 simplified gives 83/24
- So, 21/8 + 45/54 = 83/24
In mixed form: 311/24
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