Add 45/54 and 10/40
45/54 + 10/40 is 13/12.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 54 and 40 is 1080
Next, find the equivalent fraction of both fractional numbers with denominator 1080 - For the 1st fraction, since 54 × 20 = 1080,
45/54 = 45 × 20/54 × 20 = 900/1080 - Likewise, for the 2nd fraction, since 40 × 27 = 1080,
10/40 = 10 × 27/40 × 27 = 270/1080 - Add the two like fractions:
900/1080 + 270/1080 = 900 + 270/1080 = 1170/1080 - 1170/1080 simplified gives 13/12
- So, 45/54 + 10/40 = 13/12
In mixed form: 11/12
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