Add 84/27 and 10/40
1st number: 3 3/27, 2nd number: 10/40
84/27 + 10/40 is 121/36.
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,
84/27 = 84 × 40/27 × 40 = 3360/1080 - Likewise, for the 2nd fraction, since 40 × 27 = 1080,
10/40 = 10 × 27/40 × 27 = 270/1080 - Add the two like fractions:
3360/1080 + 270/1080 = 3360 + 270/1080 = 3630/1080 - 3630/1080 simplified gives 121/36
- So, 84/27 + 10/40 = 121/36
In mixed form: 313/36
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