Add 27/8 and 42/27
1st number: 3 3/8, 2nd number: 1 15/27
27/8 + 42/27 is 355/72.
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,
27/8 = 27 × 27/8 × 27 = 729/216 - Likewise, for the 2nd fraction, since 27 × 8 = 216,
42/27 = 42 × 8/27 × 8 = 336/216 - Add the two like fractions:
729/216 + 336/216 = 729 + 336/216 = 1065/216 - 1065/216 simplified gives 355/72
- So, 27/8 + 42/27 = 355/72
In mixed form: 467/72
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