Add 7/12 and 40/49
7/12 + 40/49 is 823/588.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 12 and 49 is 588
Next, find the equivalent fraction of both fractional numbers with denominator 588 - For the 1st fraction, since 12 × 49 = 588,
7/12 = 7 × 49/12 × 49 = 343/588 - Likewise, for the 2nd fraction, since 49 × 12 = 588,
40/49 = 40 × 12/49 × 12 = 480/588 - Add the two like fractions:
343/588 + 480/588 = 343 + 480/588 = 823/588 - So, 7/12 + 40/49 = 823/588
In mixed form: 1235/588
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