Add 3/27 and 45/49
3/27 + 45/49 is 454/441.
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,
3/27 = 3 × 49/27 × 49 = 147/1323 - Likewise, for the 2nd fraction, since 49 × 27 = 1323,
45/49 = 45 × 27/49 × 27 = 1215/1323 - Add the two like fractions:
147/1323 + 1215/1323 = 147 + 1215/1323 = 1362/1323 - 1362/1323 simplified gives 454/441
- So, 3/27 + 45/49 = 454/441
In mixed form: 113/441
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