Add 8/3 and 42/45, Solve 2 2/3 + 42/45 as a fraction

Add 8/3 and 42/45

1^st number: 2 2/3, 2^nd number: 42/45

8/3 + 42/45 is 18/5.

Find the least common denominator or LCM of the two denominators:
LCM of 3 and 45 is 45

Next, find the equivalent fraction of both fractional numbers with denominator 45
For the 1st fraction, since 3 × 15 = 45,
8/3 = 8 × 15/3 × 15 = 120/45
Likewise, for the 2nd fraction, since 45 × 1 = 45,
42/45 = 42 × 1/45 × 1 = 42/45
Add the two like fractions:
120/45 + 42/45 = 120 + 42/45 = 162/45
162/45 simplified gives 18/5
So, 8/3 + 42/45 = 18/5
In mixed form: 33/5

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