Add 36/14 and 80/45, Solve 2 8/14 + 1 35/45 as a fraction

Add 36/14 and 80/45

1^st number: 2 8/14, 2^nd number: 1 35/45

36/14 + 80/45 is 274/63.

Find the least common denominator or LCM of the two denominators:
LCM of 14 and 45 is 630

Next, find the equivalent fraction of both fractional numbers with denominator 630
For the 1st fraction, since 14 × 45 = 630,
36/14 = 36 × 45/14 × 45 = 1620/630
Likewise, for the 2nd fraction, since 45 × 14 = 630,
80/45 = 80 × 14/45 × 14 = 1120/630
Add the two like fractions:
1620/630 + 1120/630 = 1620 + 1120/630 = 2740/630
2740/630 simplified gives 274/63
So, 36/14 + 80/45 = 274/63
In mixed form: 422/63

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