Add 30/54 and 42/40
1st number: 30/54, 2nd number: 1 2/40
30/54 + 42/40 is 289/180.
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,
30/54 = 30 × 20/54 × 20 = 600/1080 - Likewise, for the 2nd fraction, since 40 × 27 = 1080,
42/40 = 42 × 27/40 × 27 = 1134/1080 - Add the two like fractions:
600/1080 + 1134/1080 = 600 + 1134/1080 = 1734/1080 - 1734/1080 simplified gives 289/180
- So, 30/54 + 42/40 = 289/180
In mixed form: 1109/180
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