Add 20/9 and 42/28
1st number: 2 2/9, 2nd number: 1 14/28
20/9 + 42/28 is 67/18.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 9 and 28 is 252
Next, find the equivalent fraction of both fractional numbers with denominator 252 - For the 1st fraction, since 9 × 28 = 252,
20/9 = 20 × 28/9 × 28 = 560/252 - Likewise, for the 2nd fraction, since 28 × 9 = 252,
42/28 = 42 × 9/28 × 9 = 378/252 - Add the two like fractions:
560/252 + 378/252 = 560 + 378/252 = 938/252 - 938/252 simplified gives 67/18
- So, 20/9 + 42/28 = 67/18
In mixed form: 313/18
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