Add 10/12 and 20/49
10/12 + 20/49 is 365/294.
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,
10/12 = 10 × 49/12 × 49 = 490/588 - Likewise, for the 2nd fraction, since 49 × 12 = 588,
20/49 = 20 × 12/49 × 12 = 240/588 - Add the two like fractions:
490/588 + 240/588 = 490 + 240/588 = 730/588 - 730/588 simplified gives 365/294
- So, 10/12 + 20/49 = 365/294
In mixed form: 171/294
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