Add 20/81 and 40/45
20/81 + 40/45 is 92/81.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 81 and 45 is 405
Next, find the equivalent fraction of both fractional numbers with denominator 405 - For the 1st fraction, since 81 × 5 = 405,
20/81 = 20 × 5/81 × 5 = 100/405 - Likewise, for the 2nd fraction, since 45 × 9 = 405,
40/45 = 40 × 9/45 × 9 = 360/405 - Add the two like fractions:
100/405 + 360/405 = 100 + 360/405 = 460/405 - 460/405 simplified gives 92/81
- So, 20/81 + 40/45 = 92/81
In mixed form: 111/81
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