Add 75/12 and 45/49
1st number: 6 3/12, 2nd number: 45/49
75/12 + 45/49 is 1405/196.
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,
75/12 = 75 × 49/12 × 49 = 3675/588 - Likewise, for the 2nd fraction, since 49 × 12 = 588,
45/49 = 45 × 12/49 × 12 = 540/588 - Add the two like fractions:
3675/588 + 540/588 = 3675 + 540/588 = 4215/588 - 4215/588 simplified gives 1405/196
- So, 75/12 + 45/49 = 1405/196
In mixed form: 733/196
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