Add 35/4 and 30/21, Solve 8 3/4 + 1 9/21 as a fraction

Add 35/4 and 30/21

1^st number: 8 3/4, 2^nd number: 1 9/21

35/4 + 30/21 is 285/28.

Find the least common denominator or LCM of the two denominators:
LCM of 4 and 21 is 84

Next, find the equivalent fraction of both fractional numbers with denominator 84
For the 1st fraction, since 4 × 21 = 84,
35/4 = 35 × 21/4 × 21 = 735/84
Likewise, for the 2nd fraction, since 21 × 4 = 84,
30/21 = 30 × 4/21 × 4 = 120/84
Add the two like fractions:
735/84 + 120/84 = 735 + 120/84 = 855/84
855/84 simplified gives 285/28
So, 35/4 + 30/21 = 285/28
In mixed form: 105/28

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