Add 27/20 and 75/42, Solve 1 7/20 + 1 33/42 as a fraction

Add 27/20 and 75/42

1^st number: 1 7/20, 2^nd number: 1 33/42

27/20 + 75/42 is 439/140.

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,
27/20 = 27 × 21/20 × 21 = 567/420
Likewise, for the 2nd fraction, since 42 × 10 = 420,
75/42 = 75 × 10/42 × 10 = 750/420
Add the two like fractions:
567/420 + 750/420 = 567 + 750/420 = 1317/420
1317/420 simplified gives 439/140
So, 27/20 + 75/42 = 439/140
In mixed form: 319/140

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