Add 90/27 and 35/40
1st number: 3 9/27, 2nd number: 35/40
90/27 + 35/40 is 101/24.
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,
35/40 = 35 × 27/40 × 27 = 945/1080 - Add the two like fractions:
3600/1080 + 945/1080 = 3600 + 945/1080 = 4545/1080 - 4545/1080 simplified gives 101/24
- So, 90/27 + 35/40 = 101/24
In mixed form: 45/24
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