Add 3/81 and 42/40
1st number: 3/81, 2nd number: 1 2/40
3/81 + 42/40 is 587/540.
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,
3/81 = 3 × 40/81 × 40 = 120/3240 - Likewise, for the 2nd fraction, since 40 × 81 = 3240,
42/40 = 42 × 81/40 × 81 = 3402/3240 - Add the two like fractions:
120/3240 + 3402/3240 = 120 + 3402/3240 = 3522/3240 - 3522/3240 simplified gives 587/540
- So, 3/81 + 42/40 = 587/540
In mixed form: 147/540
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