Add 36/5 and 84/27, Solve 7 1/5 + 3 3/27 as a fraction

Add 36/5 and 84/27

1^st number: 7 1/5, 2^nd number: 3 3/27

36/5 + 84/27 is 464/45.

Find the least common denominator or LCM of the two denominators:
LCM of 5 and 27 is 135

Next, find the equivalent fraction of both fractional numbers with denominator 135
For the 1st fraction, since 5 × 27 = 135,
36/5 = 36 × 27/5 × 27 = 972/135
Likewise, for the 2nd fraction, since 27 × 5 = 135,
84/27 = 84 × 5/27 × 5 = 420/135
Add the two like fractions:
972/135 + 420/135 = 972 + 420/135 = 1392/135
1392/135 simplified gives 464/45
So, 36/5 + 84/27 = 464/45
In mixed form: 1014/45

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