Add 4/12 and 40/49
4/12 + 40/49 is 169/147.
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,
4/12 = 4 × 49/12 × 49 = 196/588 - Likewise, for the 2nd fraction, since 49 × 12 = 588,
40/49 = 40 × 12/49 × 12 = 480/588 - Add the two like fractions:
196/588 + 480/588 = 196 + 480/588 = 676/588 - 676/588 simplified gives 169/147
- So, 4/12 + 40/49 = 169/147
In mixed form: 122/147
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