Add 75/27 and 20/49
1st number: 2 21/27, 2nd number: 20/49
75/27 + 20/49 is 1405/441.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 49 is 1323
Next, find the equivalent fraction of both fractional numbers with denominator 1323 - For the 1st fraction, since 27 × 49 = 1323,
75/27 = 75 × 49/27 × 49 = 3675/1323 - Likewise, for the 2nd fraction, since 49 × 27 = 1323,
20/49 = 20 × 27/49 × 27 = 540/1323 - Add the two like fractions:
3675/1323 + 540/1323 = 3675 + 540/1323 = 4215/1323 - 4215/1323 simplified gives 1405/441
- So, 75/27 + 20/49 = 1405/441
In mixed form: 382/441
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