Add 45/54 and 70/40
1st number: 45/54, 2nd number: 1 30/40
45/54 + 70/40 is 31/12.
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,
70/40 = 70 × 27/40 × 27 = 1890/1080 - Add the two like fractions:
900/1080 + 1890/1080 = 900 + 1890/1080 = 2790/1080 - 2790/1080 simplified gives 31/12
- So, 45/54 + 70/40 = 31/12
In mixed form: 27/12
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