Add 36/81 and 14/45
36/81 + 14/45 is 34/45.
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,
36/81 = 36 × 5/81 × 5 = 180/405 - Likewise, for the 2nd fraction, since 45 × 9 = 405,
14/45 = 14 × 9/45 × 9 = 126/405 - Add the two like fractions:
180/405 + 126/405 = 180 + 126/405 = 306/405 - 306/405 simplified gives 34/45
- So, 36/81 + 14/45 = 34/45
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