Add 9/2 and 36/84, Solve 4 1/2 + 36/84 as a fraction

Add 9/2 and 36/84

1^st number: 4 1/2, 2^nd number: 36/84

9/2 + 36/84 is 69/14.

Find the least common denominator or LCM of the two denominators:
LCM of 2 and 84 is 84

Next, find the equivalent fraction of both fractional numbers with denominator 84
For the 1st fraction, since 2 × 42 = 84,
9/2 = 9 × 42/2 × 42 = 378/84
Likewise, for the 2nd fraction, since 84 × 1 = 84,
36/84 = 36 × 1/84 × 1 = 36/84
Add the two like fractions:
378/84 + 36/84 = 378 + 36/84 = 414/84
414/84 simplified gives 69/14
So, 9/2 + 36/84 = 69/14
In mixed form: 413/14

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