Add 72/27 and 45/21, Solve 2 18/27 + 2 3/21 as a fraction

Add 72/27 and 45/21

1^st number: 2 18/27, 2^nd number: 2 3/21

72/27 + 45/21 is 101/21.

Find the least common denominator or LCM of the two denominators:
LCM of 27 and 21 is 189

Next, find the equivalent fraction of both fractional numbers with denominator 189
For the 1st fraction, since 27 × 7 = 189,
72/27 = 72 × 7/27 × 7 = 504/189
Likewise, for the 2nd fraction, since 21 × 9 = 189,
45/21 = 45 × 9/21 × 9 = 405/189
Add the two like fractions:
504/189 + 405/189 = 504 + 405/189 = 909/189
909/189 simplified gives 101/21
So, 72/27 + 45/21 = 101/21
In mixed form: 417/21

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