Add 40/45 and 36/81
40/45 + 36/81 is 4/3.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 45 and 81 is 405
Next, find the equivalent fraction of both fractional numbers with denominator 405 - For the 1st fraction, since 45 × 9 = 405,
40/45 = 40 × 9/45 × 9 = 360/405 - Likewise, for the 2nd fraction, since 81 × 5 = 405,
36/81 = 36 × 5/81 × 5 = 180/405 - Add the two like fractions:
360/405 + 180/405 = 360 + 180/405 = 540/405 - 540/405 simplified gives 4/3
- So, 40/45 + 36/81 = 4/3
In mixed form: 11/3
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