Add 49/54 and 54/56
49/54 + 54/56 is 1415/756.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 54 and 56 is 1512
Next, find the equivalent fraction of both fractional numbers with denominator 1512 - For the 1st fraction, since 54 × 28 = 1512,
49/54 = 49 × 28/54 × 28 = 1372/1512 - Likewise, for the 2nd fraction, since 56 × 27 = 1512,
54/56 = 54 × 27/56 × 27 = 1458/1512 - Add the two like fractions:
1372/1512 + 1458/1512 = 1372 + 1458/1512 = 2830/1512 - 2830/1512 simplified gives 1415/756
- So, 49/54 + 54/56 = 1415/756
In mixed form: 1659/756
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