Add 27/90 and 40/14, Solve 27/90 + 2 12/14 as a fraction

Add 27/90 and 40/14

1^st number: 27/90, 2^nd number: 2 12/14

27/90 + 40/14 is 221/70.

Find the least common denominator or LCM of the two denominators:
LCM of 90 and 14 is 630

Next, find the equivalent fraction of both fractional numbers with denominator 630
For the 1st fraction, since 90 × 7 = 630,
27/90 = 27 × 7/90 × 7 = 189/630
Likewise, for the 2nd fraction, since 14 × 45 = 630,
40/14 = 40 × 45/14 × 45 = 1800/630
Add the two like fractions:
189/630 + 1800/630 = 189 + 1800/630 = 1989/630
1989/630 simplified gives 221/70
So, 27/90 + 40/14 = 221/70
In mixed form: 311/70

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