Add 90/27 and 21/40
1st number: 3 9/27, 2nd number: 21/40
90/27 + 21/40 is 463/120.
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,
21/40 = 21 × 27/40 × 27 = 567/1080 - Add the two like fractions:
3600/1080 + 567/1080 = 3600 + 567/1080 = 4167/1080 - 4167/1080 simplified gives 463/120
- So, 90/27 + 21/40 = 463/120
In mixed form: 3103/120
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