Add 1/40 and 75/27
1st number: 1/40, 2nd number: 2 21/27
1/40 + 75/27 is 1009/360.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 40 and 27 is 1080
Next, find the equivalent fraction of both fractional numbers with denominator 1080 - For the 1st fraction, since 40 × 27 = 1080,
1/40 = 1 × 27/40 × 27 = 27/1080 - Likewise, for the 2nd fraction, since 27 × 40 = 1080,
75/27 = 75 × 40/27 × 40 = 3000/1080 - Add the two like fractions:
27/1080 + 3000/1080 = 27 + 3000/1080 = 3027/1080 - 3027/1080 simplified gives 1009/360
- So, 1/40 + 75/27 = 1009/360
In mixed form: 2289/360
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