Add 27/20 and 21/42
1st number: 1 7/20, 2nd number: 21/42
27/20 + 21/42 is 37/20.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 20 and 42 is 420
Next, find the equivalent fraction of both fractional numbers with denominator 420 - For the 1st fraction, since 20 × 21 = 420,
27/20 = 27 × 21/20 × 21 = 567/420 - Likewise, for the 2nd fraction, since 42 × 10 = 420,
21/42 = 21 × 10/42 × 10 = 210/420 - Add the two like fractions:
567/420 + 210/420 = 567 + 210/420 = 777/420 - 777/420 simplified gives 37/20
- So, 27/20 + 21/42 = 37/20
In mixed form: 117/20
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