Add 45/54 and 48/49
45/54 + 48/49 is 533/294.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 54 and 49 is 2646
Next, find the equivalent fraction of both fractional numbers with denominator 2646 - For the 1st fraction, since 54 × 49 = 2646,
45/54 = 45 × 49/54 × 49 = 2205/2646 - Likewise, for the 2nd fraction, since 49 × 54 = 2646,
48/49 = 48 × 54/49 × 54 = 2592/2646 - Add the two like fractions:
2205/2646 + 2592/2646 = 2205 + 2592/2646 = 4797/2646 - 4797/2646 simplified gives 533/294
- So, 45/54 + 48/49 = 533/294
In mixed form: 1239/294
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