Add 72/42 and 75/27, Solve 1 30/42 + 2 21/27 as a fraction

Add 72/42 and 75/27

1^st number: 1 30/42, 2^nd number: 2 21/27

72/42 + 75/27 is 283/63.

Find the least common denominator or LCM of the two denominators:
LCM of 42 and 27 is 378

Next, find the equivalent fraction of both fractional numbers with denominator 378
For the 1st fraction, since 42 × 9 = 378,
72/42 = 72 × 9/42 × 9 = 648/378
Likewise, for the 2nd fraction, since 27 × 14 = 378,
75/27 = 75 × 14/27 × 14 = 1050/378
Add the two like fractions:
648/378 + 1050/378 = 648 + 1050/378 = 1698/378
1698/378 simplified gives 283/63
So, 72/42 + 75/27 = 283/63
In mixed form: 431/63

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