Add 27/30 and 32/49
27/30 + 32/49 is 761/490.
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,
32/49 = 32 × 30/49 × 30 = 960/1470 - Add the two like fractions:
1323/1470 + 960/1470 = 1323 + 960/1470 = 2283/1470 - 2283/1470 simplified gives 761/490
- So, 27/30 + 32/49 = 761/490
In mixed form: 1271/490
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