Add 10/30 and 42/81
10/30 + 42/81 is 23/27.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 81 is 810
Next, find the equivalent fraction of both fractional numbers with denominator 810 - For the 1st fraction, since 30 × 27 = 810,
10/30 = 10 × 27/30 × 27 = 270/810 - Likewise, for the 2nd fraction, since 81 × 10 = 810,
42/81 = 42 × 10/81 × 10 = 420/810 - Add the two like fractions:
270/810 + 420/810 = 270 + 420/810 = 690/810 - 690/810 simplified gives 23/27
- So, 10/30 + 42/81 = 23/27
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