Add 40/7 and 75/27, Solve 5 5/7 + 2 21/27 as a fraction

Add 40/7 and 75/27

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

40/7 + 75/27 is 535/63.

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

Next, find the equivalent fraction of both fractional numbers with denominator 189
For the 1st fraction, since 7 × 27 = 189,
40/7 = 40 × 27/7 × 27 = 1080/189
Likewise, for the 2nd fraction, since 27 × 7 = 189,
75/27 = 75 × 7/27 × 7 = 525/189
Add the two like fractions:
1080/189 + 525/189 = 1080 + 525/189 = 1605/189
1605/189 simplified gives 535/63
So, 40/7 + 75/27 = 535/63
In mixed form: 831/63

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