Add 4/49 and 49/81
4/49 + 49/81 is 2725/3969.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 49 and 81 is 3969
Next, find the equivalent fraction of both fractional numbers with denominator 3969 - For the 1st fraction, since 49 × 81 = 3969,
4/49 = 4 × 81/49 × 81 = 324/3969 - Likewise, for the 2nd fraction, since 81 × 49 = 3969,
49/81 = 49 × 49/81 × 49 = 2401/3969 - Add the two like fractions:
324/3969 + 2401/3969 = 324 + 2401/3969 = 2725/3969 - So, 4/49 + 49/81 = 2725/3969
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