Add 9/2 and 30/35, Solve 4 1/2 + 30/35 as a fraction

Add 9/2 and 30/35

1^st number: 4 1/2, 2^nd number: 30/35

9/2 + 30/35 is 75/14.

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,
9/2 = 9 × 35/2 × 35 = 315/70
Likewise, for the 2nd fraction, since 35 × 2 = 70,
30/35 = 30 × 2/35 × 2 = 60/70
Add the two like fractions:
315/70 + 60/70 = 315 + 60/70 = 375/70
375/70 simplified gives 75/14
So, 9/2 + 30/35 = 75/14
In mixed form: 55/14

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