Add 12/20 and 75/42, Solve 12/20 + 1 33/42 as a fraction

Add 12/20 and 75/42

1^st number: 12/20, 2^nd number: 1 33/42

12/20 + 75/42 is 167/70.

Find the least common denominator or LCM of the two denominators:
LCM of 20 and 42 is 420

Next, find the equivalent fraction of both fractional numbers with denominator 420
For the 1st fraction, since 20 × 21 = 420,
12/20 = 12 × 21/20 × 21 = 252/420
Likewise, for the 2nd fraction, since 42 × 10 = 420,
75/42 = 75 × 10/42 × 10 = 750/420
Add the two like fractions:
252/420 + 750/420 = 252 + 750/420 = 1002/420
1002/420 simplified gives 167/70
So, 12/20 + 75/42 = 167/70
In mixed form: 227/70

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