Add 75/27 and 36/7, Solve 2 21/27 + 5 1/7 as a fraction

Add 75/27 and 36/7

1^st number: 2 21/27, 2^nd number: 5 1/7

75/27 + 36/7 is 499/63.

Find the least common denominator or LCM of the two denominators:
LCM of 27 and 7 is 189

Next, find the equivalent fraction of both fractional numbers with denominator 189
For the 1st fraction, since 27 × 7 = 189,
75/27 = 75 × 7/27 × 7 = 525/189
Likewise, for the 2nd fraction, since 7 × 27 = 189,
36/7 = 36 × 27/7 × 27 = 972/189
Add the two like fractions:
525/189 + 972/189 = 525 + 972/189 = 1497/189
1497/189 simplified gives 499/63
So, 75/27 + 36/7 = 499/63
In mixed form: 758/63

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