Add 75/35 and 30/84, Solve 2 5/35 + 30/84 as a fraction

Add 75/35 and 30/84

1^st number: 2 5/35, 2^nd number: 30/84

75/35 + 30/84 is 5/2.

Find the least common denominator or LCM of the two denominators:
LCM of 35 and 84 is 420

Next, find the equivalent fraction of both fractional numbers with denominator 420
For the 1st fraction, since 35 × 12 = 420,
75/35 = 75 × 12/35 × 12 = 900/420
Likewise, for the 2nd fraction, since 84 × 5 = 420,
30/84 = 30 × 5/84 × 5 = 150/420
Add the two like fractions:
900/420 + 150/420 = 900 + 150/420 = 1050/420
1050/420 simplified gives 5/2
So, 75/35 + 30/84 = 5/2
In mixed form: 21/2

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