Add 56/5 and 21/49, Solve 11 1/5 + 21/49 as a fraction

Add 56/5 and 21/49

1^st number: 11 1/5, 2^nd number: 21/49

56/5 + 21/49 is 407/35.

Find the least common denominator or LCM of the two denominators:
LCM of 5 and 49 is 245

Next, find the equivalent fraction of both fractional numbers with denominator 245
For the 1st fraction, since 5 × 49 = 245,
56/5 = 56 × 49/5 × 49 = 2744/245
Likewise, for the 2nd fraction, since 49 × 5 = 245,
21/49 = 21 × 5/49 × 5 = 105/245
Add the two like fractions:
2744/245 + 105/245 = 2744 + 105/245 = 2849/245
2849/245 simplified gives 407/35
So, 56/5 + 21/49 = 407/35
In mixed form: 1122/35

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