Add 10/75 and 63/18, Solve 10/75 + 3 9/18 as a fraction

Add 10/75 and 63/18

1^st number: 10/75, 2^nd number: 3 9/18

10/75 + 63/18 is 109/30.

Find the least common denominator or LCM of the two denominators:
LCM of 75 and 18 is 450

Next, find the equivalent fraction of both fractional numbers with denominator 450
For the 1st fraction, since 75 × 6 = 450,
10/75 = 10 × 6/75 × 6 = 60/450
Likewise, for the 2nd fraction, since 18 × 25 = 450,
63/18 = 63 × 25/18 × 25 = 1575/450
Add the two like fractions:
60/450 + 1575/450 = 60 + 1575/450 = 1635/450
1635/450 simplified gives 109/30
So, 10/75 + 63/18 = 109/30
In mixed form: 319/30

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