Add 10/36 and 45/54
10/36 + 45/54 is 10/9.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 36 and 54 is 108
Next, find the equivalent fraction of both fractional numbers with denominator 108 - For the 1st fraction, since 36 × 3 = 108,
10/36 = 10 × 3/36 × 3 = 30/108 - Likewise, for the 2nd fraction, since 54 × 2 = 108,
45/54 = 45 × 2/54 × 2 = 90/108 - Add the two like fractions:
30/108 + 90/108 = 30 + 90/108 = 120/108 - 120/108 simplified gives 10/9
- So, 10/36 + 45/54 = 10/9
In mixed form: 11/9
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