Add 1/81 and 42/49
1/81 + 42/49 is 493/567.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 81 and 49 is 3969
Next, find the equivalent fraction of both fractional numbers with denominator 3969 - For the 1st fraction, since 81 × 49 = 3969,
1/81 = 1 × 49/81 × 49 = 49/3969 - Likewise, for the 2nd fraction, since 49 × 81 = 3969,
42/49 = 42 × 81/49 × 81 = 3402/3969 - Add the two like fractions:
49/3969 + 3402/3969 = 49 + 3402/3969 = 3451/3969 - 3451/3969 simplified gives 493/567
- So, 1/81 + 42/49 = 493/567
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