Add 40/72 and 45/81
40/72 + 45/81 is 10/9.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 72 and 81 is 648
Next, find the equivalent fraction of both fractional numbers with denominator 648 - For the 1st fraction, since 72 × 9 = 648,
40/72 = 40 × 9/72 × 9 = 360/648 - Likewise, for the 2nd fraction, since 81 × 8 = 648,
45/81 = 45 × 8/81 × 8 = 360/648 - Add the two like fractions:
360/648 + 360/648 = 360 + 360/648 = 720/648 - 720/648 simplified gives 10/9
- So, 40/72 + 45/81 = 10/9
In mixed form: 11/9
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