Add 27/18 and 40/21
1st number: 1 9/18, 2nd number: 1 19/21
27/18 + 40/21 is 143/42.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 18 and 21 is 126
Next, find the equivalent fraction of both fractional numbers with denominator 126 - For the 1st fraction, since 18 × 7 = 126,
27/18 = 27 × 7/18 × 7 = 189/126 - Likewise, for the 2nd fraction, since 21 × 6 = 126,
40/21 = 40 × 6/21 × 6 = 240/126 - Add the two like fractions:
189/126 + 240/126 = 189 + 240/126 = 429/126 - 429/126 simplified gives 143/42
- So, 27/18 + 40/21 = 143/42
In mixed form: 317/42
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