Add 40/9 and 81/49
1st number: 4 4/9, 2nd number: 1 32/49
40/9 + 81/49 is 2689/441.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 9 and 49 is 441
Next, find the equivalent fraction of both fractional numbers with denominator 441 - For the 1st fraction, since 9 × 49 = 441,
40/9 = 40 × 49/9 × 49 = 1960/441 - Likewise, for the 2nd fraction, since 49 × 9 = 441,
81/49 = 81 × 9/49 × 9 = 729/441 - Add the two like fractions:
1960/441 + 729/441 = 1960 + 729/441 = 2689/441 - So, 40/9 + 81/49 = 2689/441
In mixed form: 643/441
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