Add 35/49 and 28/54
35/49 + 28/54 is 233/189.
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,
35/49 = 35 × 54/49 × 54 = 1890/2646 - Likewise, for the 2nd fraction, since 54 × 49 = 2646,
28/54 = 28 × 49/54 × 49 = 1372/2646 - Add the two like fractions:
1890/2646 + 1372/2646 = 1890 + 1372/2646 = 3262/2646 - 3262/2646 simplified gives 233/189
- So, 35/49 + 28/54 = 233/189
In mixed form: 144/189
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