Add 35/27 and 12/40
1st number: 1 8/27, 2nd number: 12/40
35/27 + 12/40 is 431/270.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 40 is 1080
Next, find the equivalent fraction of both fractional numbers with denominator 1080 - For the 1st fraction, since 27 × 40 = 1080,
35/27 = 35 × 40/27 × 40 = 1400/1080 - Likewise, for the 2nd fraction, since 40 × 27 = 1080,
12/40 = 12 × 27/40 × 27 = 324/1080 - Add the two like fractions:
1400/1080 + 324/1080 = 1400 + 324/1080 = 1724/1080 - 1724/1080 simplified gives 431/270
- So, 35/27 + 12/40 = 431/270
In mixed form: 1161/270
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