Add 27/7 and 2/30, Solve 3 6/7 + 2/30 as a fraction

Add 27/7 and 2/30

1^st number: 3 6/7, 2^nd number: 2/30

27/7 + 2/30 is 412/105.

Find the least common denominator or LCM of the two denominators:
LCM of 7 and 30 is 210

Next, find the equivalent fraction of both fractional numbers with denominator 210
For the 1st fraction, since 7 × 30 = 210,
27/7 = 27 × 30/7 × 30 = 810/210
Likewise, for the 2nd fraction, since 30 × 7 = 210,
2/30 = 2 × 7/30 × 7 = 14/210
Add the two like fractions:
810/210 + 14/210 = 810 + 14/210 = 824/210
824/210 simplified gives 412/105
So, 27/7 + 2/30 = 412/105
In mixed form: 397/105

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