Add 20/12 and 40/49
1st number: 1 8/12, 2nd number: 40/49
20/12 + 40/49 is 365/147.
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,
20/12 = 20 × 49/12 × 49 = 980/588 - Likewise, for the 2nd fraction, since 49 × 12 = 588,
40/49 = 40 × 12/49 × 12 = 480/588 - Add the two like fractions:
980/588 + 480/588 = 980 + 480/588 = 1460/588 - 1460/588 simplified gives 365/147
- So, 20/12 + 40/49 = 365/147
In mixed form: 271/147
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