Add 45/2 and 10/84, Solve 22 1/2 + 10/84 as a fraction

Add 45/2 and 10/84

1^st number: 22 1/2, 2^nd number: 10/84

45/2 + 10/84 is 475/21.

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,
45/2 = 45 × 42/2 × 42 = 1890/84
Likewise, for the 2nd fraction, since 84 × 1 = 84,
10/84 = 10 × 1/84 × 1 = 10/84
Add the two like fractions:
1890/84 + 10/84 = 1890 + 10/84 = 1900/84
1900/84 simplified gives 475/21
So, 45/2 + 10/84 = 475/21
In mixed form: 2213/21

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