Add 45/4 and 75/27
1st number: 11 1/4, 2nd number: 2 21/27
45/4 + 75/27 is 505/36.
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,
45/4 = 45 × 27/4 × 27 = 1215/108 - Likewise, for the 2nd fraction, since 27 × 4 = 108,
75/27 = 75 × 4/27 × 4 = 300/108 - Add the two like fractions:
1215/108 + 300/108 = 1215 + 300/108 = 1515/108 - 1515/108 simplified gives 505/36
- So, 45/4 + 75/27 = 505/36
In mixed form: 141/36
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