Add 27/5 and 14/49, Solve 5 2/5 + 14/49 as a fraction

Add 27/5 and 14/49

1^st number: 5 2/5, 2^nd number: 14/49

27/5 + 14/49 is 199/35.

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,
27/5 = 27 × 49/5 × 49 = 1323/245
Likewise, for the 2nd fraction, since 49 × 5 = 245,
14/49 = 14 × 5/49 × 5 = 70/245
Add the two like fractions:
1323/245 + 70/245 = 1323 + 70/245 = 1393/245
1393/245 simplified gives 199/35
So, 27/5 + 14/49 = 199/35
In mixed form: 524/35

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