Add 45/8 and 49/27
1st number: 5 5/8, 2nd number: 1 22/27
45/8 + 49/27 is 1607/216.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 8 and 27 is 216
Next, find the equivalent fraction of both fractional numbers with denominator 216 - For the 1st fraction, since 8 × 27 = 216,
45/8 = 45 × 27/8 × 27 = 1215/216 - Likewise, for the 2nd fraction, since 27 × 8 = 216,
49/27 = 49 × 8/27 × 8 = 392/216 - Add the two like fractions:
1215/216 + 392/216 = 1215 + 392/216 = 1607/216 - So, 45/8 + 49/27 = 1607/216
In mixed form: 795/216
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