Add 30/40 and 75/27
1st number: 30/40, 2nd number: 2 21/27
30/40 + 75/27 is 127/36.
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,
30/40 = 30 × 27/40 × 27 = 810/1080 - Likewise, for the 2nd fraction, since 27 × 40 = 1080,
75/27 = 75 × 40/27 × 40 = 3000/1080 - Add the two like fractions:
810/1080 + 3000/1080 = 810 + 3000/1080 = 3810/1080 - 3810/1080 simplified gives 127/36
- So, 30/40 + 75/27 = 127/36
In mixed form: 319/36
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