Add 75/54 and 45/49
1st number: 1 21/54, 2nd number: 45/49
75/54 + 45/49 is 2035/882.
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,
75/54 = 75 × 49/54 × 49 = 3675/2646 - Likewise, for the 2nd fraction, since 49 × 54 = 2646,
45/49 = 45 × 54/49 × 54 = 2430/2646 - Add the two like fractions:
3675/2646 + 2430/2646 = 3675 + 2430/2646 = 6105/2646 - 6105/2646 simplified gives 2035/882
- So, 75/54 + 45/49 = 2035/882
In mixed form: 2271/882
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