Add 27/5 and 30/21, Solve 5 2/5 + 1 9/21 as a fraction

Add 27/5 and 30/21

1^st number: 5 2/5, 2^nd number: 1 9/21

27/5 + 30/21 is 239/35.

Find the least common denominator or LCM of the two denominators:
LCM of 5 and 21 is 105

Next, find the equivalent fraction of both fractional numbers with denominator 105
For the 1st fraction, since 5 × 21 = 105,
27/5 = 27 × 21/5 × 21 = 567/105
Likewise, for the 2nd fraction, since 21 × 5 = 105,
30/21 = 30 × 5/21 × 5 = 150/105
Add the two like fractions:
567/105 + 150/105 = 567 + 150/105 = 717/105
717/105 simplified gives 239/35
So, 27/5 + 30/21 = 239/35
In mixed form: 629/35

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