Add 30/8 and 75/27
1st number: 3 6/8, 2nd number: 2 21/27
30/8 + 75/27 is 235/36.
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,
30/8 = 30 × 27/8 × 27 = 810/216 - Likewise, for the 2nd fraction, since 27 × 8 = 216,
75/27 = 75 × 8/27 × 8 = 600/216 - Add the two like fractions:
810/216 + 600/216 = 810 + 600/216 = 1410/216 - 1410/216 simplified gives 235/36
- So, 30/8 + 75/27 = 235/36
In mixed form: 619/36
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