Add 30/81 and 42/60
30/81 + 42/60 is 289/270.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 81 and 60 is 1620
Next, find the equivalent fraction of both fractional numbers with denominator 1620 - For the 1st fraction, since 81 × 20 = 1620,
30/81 = 30 × 20/81 × 20 = 600/1620 - Likewise, for the 2nd fraction, since 60 × 27 = 1620,
42/60 = 42 × 27/60 × 27 = 1134/1620 - Add the two like fractions:
600/1620 + 1134/1620 = 600 + 1134/1620 = 1734/1620 - 1734/1620 simplified gives 289/270
- So, 30/81 + 42/60 = 289/270
In mixed form: 119/270
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