Add 49/5 and 21/35, Solve 9 4/5 + 21/35 as a fraction

Add 49/5 and 21/35

1^st number: 9 4/5, 2^nd number: 21/35

49/5 + 21/35 is 52/5.

Find the least common denominator or LCM of the two denominators:
LCM of 5 and 35 is 35

Next, find the equivalent fraction of both fractional numbers with denominator 35
For the 1st fraction, since 5 × 7 = 35,
49/5 = 49 × 7/5 × 7 = 343/35
Likewise, for the 2nd fraction, since 35 × 1 = 35,
21/35 = 21 × 1/35 × 1 = 21/35
Add the two like fractions:
343/35 + 21/35 = 343 + 21/35 = 364/35
364/35 simplified gives 52/5
So, 49/5 + 21/35 = 52/5
In mixed form: 102/5

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