Add 10/75 and 45/12, Solve 10/75 + 3 9/12 as a fraction

Add 10/75 and 45/12

1^st number: 10/75, 2^nd number: 3 9/12

10/75 + 45/12 is 233/60.

Find the least common denominator or LCM of the two denominators:
LCM of 75 and 12 is 300

Next, find the equivalent fraction of both fractional numbers with denominator 300
For the 1st fraction, since 75 × 4 = 300,
10/75 = 10 × 4/75 × 4 = 40/300
Likewise, for the 2nd fraction, since 12 × 25 = 300,
45/12 = 45 × 25/12 × 25 = 1125/300
Add the two like fractions:
40/300 + 1125/300 = 40 + 1125/300 = 1165/300
1165/300 simplified gives 233/60
So, 10/75 + 45/12 = 233/60
In mixed form: 353/60

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