Add 20/49 and 45/54
20/49 + 45/54 is 365/294.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 49 and 54 is 2646
Next, find the equivalent fraction of both fractional numbers with denominator 2646 - For the 1st fraction, since 49 × 54 = 2646,
20/49 = 20 × 54/49 × 54 = 1080/2646 - Likewise, for the 2nd fraction, since 54 × 49 = 2646,
45/54 = 45 × 49/54 × 49 = 2205/2646 - Add the two like fractions:
1080/2646 + 2205/2646 = 1080 + 2205/2646 = 3285/2646 - 3285/2646 simplified gives 365/294
- So, 20/49 + 45/54 = 365/294
In mixed form: 171/294
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