Add 56/25 and 7/49, Solve 2 6/25 + 7/49 as a fraction

Add 56/25 and 7/49

1^st number: 2 6/25, 2^nd number: 7/49

56/25 + 7/49 is 417/175.

Find the least common denominator or LCM of the two denominators:
LCM of 25 and 49 is 1225

Next, find the equivalent fraction of both fractional numbers with denominator 1225
For the 1st fraction, since 25 × 49 = 1225,
56/25 = 56 × 49/25 × 49 = 2744/1225
Likewise, for the 2nd fraction, since 49 × 25 = 1225,
7/49 = 7 × 25/49 × 25 = 175/1225
Add the two like fractions:
2744/1225 + 175/1225 = 2744 + 175/1225 = 2919/1225
2919/1225 simplified gives 417/175
So, 56/25 + 7/49 = 417/175
In mixed form: 267/175

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