Add 49/81 and 20/24
49/81 + 20/24 is 233/162.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 81 and 24 is 648
Next, find the equivalent fraction of both fractional numbers with denominator 648 - For the 1st fraction, since 81 × 8 = 648,
49/81 = 49 × 8/81 × 8 = 392/648 - Likewise, for the 2nd fraction, since 24 × 27 = 648,
20/24 = 20 × 27/24 × 27 = 540/648 - Add the two like fractions:
392/648 + 540/648 = 392 + 540/648 = 932/648 - 932/648 simplified gives 233/162
- So, 49/81 + 20/24 = 233/162
In mixed form: 171/162
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