Add 35/4 and 21/7, Solve 8 3/4 + 3 0/7 as a fraction

Add 35/4 and 21/7

1^st number: 8 3/4, 2^nd number: 3 0/7

35/4 + 21/7 is 47/4.

Find the least common denominator or LCM of the two denominators:
LCM of 4 and 7 is 28

Next, find the equivalent fraction of both fractional numbers with denominator 28
For the 1st fraction, since 4 × 7 = 28,
35/4 = 35 × 7/4 × 7 = 245/28
Likewise, for the 2nd fraction, since 7 × 4 = 28,
21/7 = 21 × 4/7 × 4 = 84/28
Add the two like fractions:
245/28 + 84/28 = 245 + 84/28 = 329/28
329/28 simplified gives 47/4
So, 35/4 + 21/7 = 47/4
In mixed form: 113/4

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