Add 84/40 and 40/54
1st number: 2 4/40, 2nd number: 40/54
84/40 + 40/54 is 767/270.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 40 and 54 is 1080
Next, find the equivalent fraction of both fractional numbers with denominator 1080 - For the 1st fraction, since 40 × 27 = 1080,
84/40 = 84 × 27/40 × 27 = 2268/1080 - Likewise, for the 2nd fraction, since 54 × 20 = 1080,
40/54 = 40 × 20/54 × 20 = 800/1080 - Add the two like fractions:
2268/1080 + 800/1080 = 2268 + 800/1080 = 3068/1080 - 3068/1080 simplified gives 767/270
- So, 84/40 + 40/54 = 767/270
In mixed form: 2227/270
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