Add 27/60 and 75/42, Solve 27/60 + 1 33/42 as a fraction

Add 27/60 and 75/42

1^st number: 27/60, 2^nd number: 1 33/42

27/60 + 75/42 is 313/140.

Find the least common denominator or LCM of the two denominators:
LCM of 60 and 42 is 420

Next, find the equivalent fraction of both fractional numbers with denominator 420
For the 1st fraction, since 60 × 7 = 420,
27/60 = 27 × 7/60 × 7 = 189/420
Likewise, for the 2nd fraction, since 42 × 10 = 420,
75/42 = 75 × 10/42 × 10 = 750/420
Add the two like fractions:
189/420 + 750/420 = 189 + 750/420 = 939/420
939/420 simplified gives 313/140
So, 27/60 + 75/42 = 313/140
In mixed form: 233/140

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