Add 20/30 and 42/27
1st number: 20/30, 2nd number: 1 15/27
20/30 + 42/27 is 20/9.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 27 is 270
Next, find the equivalent fraction of both fractional numbers with denominator 270 - For the 1st fraction, since 30 × 9 = 270,
20/30 = 20 × 9/30 × 9 = 180/270 - Likewise, for the 2nd fraction, since 27 × 10 = 270,
42/27 = 42 × 10/27 × 10 = 420/270 - Add the two like fractions:
180/270 + 420/270 = 180 + 420/270 = 600/270 - 600/270 simplified gives 20/9
- So, 20/30 + 42/27 = 20/9
In mixed form: 22/9
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