Add 27/36 and 42/21
1st number: 27/36, 2nd number: 2 0/21
27/36 + 42/21 is 11/4.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 36 and 21 is 252
Next, find the equivalent fraction of both fractional numbers with denominator 252 - For the 1st fraction, since 36 × 7 = 252,
27/36 = 27 × 7/36 × 7 = 189/252 - Likewise, for the 2nd fraction, since 21 × 12 = 252,
42/21 = 42 × 12/21 × 12 = 504/252 - Add the two like fractions:
189/252 + 504/252 = 189 + 504/252 = 693/252 - 693/252 simplified gives 11/4
- So, 27/36 + 42/21 = 11/4
In mixed form: 23/4
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