Add 40/81 and 45/40
1st number: 40/81, 2nd number: 1 5/40
40/81 + 45/40 is 1049/648.
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,
40/81 = 40 × 40/81 × 40 = 1600/3240 - Likewise, for the 2nd fraction, since 40 × 81 = 3240,
45/40 = 45 × 81/40 × 81 = 3645/3240 - Add the two like fractions:
1600/3240 + 3645/3240 = 1600 + 3645/3240 = 5245/3240 - 5245/3240 simplified gives 1049/648
- So, 40/81 + 45/40 = 1049/648
In mixed form: 1401/648
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