Add 45/49 and 30/27
1st number: 45/49, 2nd number: 1 3/27
45/49 + 30/27 is 895/441.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 49 and 27 is 1323
Next, find the equivalent fraction of both fractional numbers with denominator 1323 - For the 1st fraction, since 49 × 27 = 1323,
45/49 = 45 × 27/49 × 27 = 1215/1323 - Likewise, for the 2nd fraction, since 27 × 49 = 1323,
30/27 = 30 × 49/27 × 49 = 1470/1323 - Add the two like fractions:
1215/1323 + 1470/1323 = 1215 + 1470/1323 = 2685/1323 - 2685/1323 simplified gives 895/441
- So, 45/49 + 30/27 = 895/441
In mixed form: 213/441
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