Add 30/81 and 21/40
30/81 + 21/40 is 967/1080.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 81 and 40 is 3240
Next, find the equivalent fraction of both fractional numbers with denominator 3240 - For the 1st fraction, since 81 × 40 = 3240,
30/81 = 30 × 40/81 × 40 = 1200/3240 - Likewise, for the 2nd fraction, since 40 × 81 = 3240,
21/40 = 21 × 81/40 × 81 = 1701/3240 - Add the two like fractions:
1200/3240 + 1701/3240 = 1200 + 1701/3240 = 2901/3240 - 2901/3240 simplified gives 967/1080
- So, 30/81 + 21/40 = 967/1080
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