Add 7/2 and 21/35, Solve 3 1/2 + 21/35 as a fraction

Add 7/2 and 21/35

1^st number: 3 1/2, 2^nd number: 21/35

7/2 + 21/35 is 41/10.

Find the least common denominator or LCM of the two denominators:
LCM of 2 and 35 is 70

Next, find the equivalent fraction of both fractional numbers with denominator 70
For the 1st fraction, since 2 × 35 = 70,
7/2 = 7 × 35/2 × 35 = 245/70
Likewise, for the 2nd fraction, since 35 × 2 = 70,
21/35 = 21 × 2/35 × 2 = 42/70
Add the two like fractions:
245/70 + 42/70 = 245 + 42/70 = 287/70
287/70 simplified gives 41/10
So, 7/2 + 21/35 = 41/10
In mixed form: 41/10

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