Add 20/42 and 90/27
1st number: 20/42, 2nd number: 3 9/27
20/42 + 90/27 is 80/21.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 42 and 27 is 378
Next, find the equivalent fraction of both fractional numbers with denominator 378 - For the 1st fraction, since 42 × 9 = 378,
20/42 = 20 × 9/42 × 9 = 180/378 - Likewise, for the 2nd fraction, since 27 × 14 = 378,
90/27 = 90 × 14/27 × 14 = 1260/378 - Add the two like fractions:
180/378 + 1260/378 = 180 + 1260/378 = 1440/378 - 1440/378 simplified gives 80/21
- So, 20/42 + 90/27 = 80/21
In mixed form: 317/21
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