Add 27/30 and 45/49
27/30 + 45/49 is 891/490.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 49 is 1470
Next, find the equivalent fraction of both fractional numbers with denominator 1470 - For the 1st fraction, since 30 × 49 = 1470,
27/30 = 27 × 49/30 × 49 = 1323/1470 - Likewise, for the 2nd fraction, since 49 × 30 = 1470,
45/49 = 45 × 30/49 × 30 = 1350/1470 - Add the two like fractions:
1323/1470 + 1350/1470 = 1323 + 1350/1470 = 2673/1470 - 2673/1470 simplified gives 891/490
- So, 27/30 + 45/49 = 891/490
In mixed form: 1401/490
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