Add 27/42 and 75/45, Solve 27/42 + 1 30/45 as a fraction

Add 27/42 and 75/45

1^st number: 27/42, 2^nd number: 1 30/45

27/42 + 75/45 is 97/42.

Find the least common denominator or LCM of the two denominators:
LCM of 42 and 45 is 630

Next, find the equivalent fraction of both fractional numbers with denominator 630
For the 1st fraction, since 42 × 15 = 630,
27/42 = 27 × 15/42 × 15 = 405/630
Likewise, for the 2nd fraction, since 45 × 14 = 630,
75/45 = 75 × 14/45 × 14 = 1050/630
Add the two like fractions:
405/630 + 1050/630 = 405 + 1050/630 = 1455/630
1455/630 simplified gives 97/42
So, 27/42 + 75/45 = 97/42
In mixed form: 213/42

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