Add 30/4 and 75/27
1st number: 7 2/4, 2nd number: 2 21/27
30/4 + 75/27 is 185/18.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 4 and 27 is 108
Next, find the equivalent fraction of both fractional numbers with denominator 108 - For the 1st fraction, since 4 × 27 = 108,
30/4 = 30 × 27/4 × 27 = 810/108 - Likewise, for the 2nd fraction, since 27 × 4 = 108,
75/27 = 75 × 4/27 × 4 = 300/108 - Add the two like fractions:
810/108 + 300/108 = 810 + 300/108 = 1110/108 - 1110/108 simplified gives 185/18
- So, 30/4 + 75/27 = 185/18
In mixed form: 105/18
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