Add 45/49 and 21/27
45/49 + 21/27 is 748/441.
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,
21/27 = 21 × 49/27 × 49 = 1029/1323 - Add the two like fractions:
1215/1323 + 1029/1323 = 1215 + 1029/1323 = 2244/1323 - 2244/1323 simplified gives 748/441
- So, 45/49 + 21/27 = 748/441
In mixed form: 1307/441
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