Add 27/9 and 40/42
1st number: 3 0/9, 2nd number: 40/42
27/9 + 40/42 is 83/21.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 9 and 42 is 126
Next, find the equivalent fraction of both fractional numbers with denominator 126 - For the 1st fraction, since 9 × 14 = 126,
27/9 = 27 × 14/9 × 14 = 378/126 - Likewise, for the 2nd fraction, since 42 × 3 = 126,
40/42 = 40 × 3/42 × 3 = 120/126 - Add the two like fractions:
378/126 + 120/126 = 378 + 120/126 = 498/126 - 498/126 simplified gives 83/21
- So, 27/9 + 40/42 = 83/21
In mixed form: 320/21
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