Add 40/81 and 40/45
40/81 + 40/45 is 112/81.
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,
40/81 = 40 × 5/81 × 5 = 200/405 - Likewise, for the 2nd fraction, since 45 × 9 = 405,
40/45 = 40 × 9/45 × 9 = 360/405 - Add the two like fractions:
200/405 + 360/405 = 200 + 360/405 = 560/405 - 560/405 simplified gives 112/81
- So, 40/81 + 40/45 = 112/81
In mixed form: 131/81
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