Add 90/27 and 9/40
1st number: 3 9/27, 2nd number: 9/40
90/27 + 9/40 is 427/120.
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,
90/27 = 90 × 40/27 × 40 = 3600/1080 - Likewise, for the 2nd fraction, since 40 × 27 = 1080,
9/40 = 9 × 27/40 × 27 = 243/1080 - Add the two like fractions:
3600/1080 + 243/1080 = 3600 + 243/1080 = 3843/1080 - 3843/1080 simplified gives 427/120
- So, 90/27 + 9/40 = 427/120
In mixed form: 367/120
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