Add 75/14 and 12/9, Solve 5 5/14 + 1 3/9 as a fraction

Add 75/14 and 12/9

1^st number: 5 5/14, 2^nd number: 1 3/9

75/14 + 12/9 is 281/42.

Find the least common denominator or LCM of the two denominators:
LCM of 14 and 9 is 126

Next, find the equivalent fraction of both fractional numbers with denominator 126
For the 1st fraction, since 14 × 9 = 126,
75/14 = 75 × 9/14 × 9 = 675/126
Likewise, for the 2nd fraction, since 9 × 14 = 126,
12/9 = 12 × 14/9 × 14 = 168/126
Add the two like fractions:
675/126 + 168/126 = 675 + 168/126 = 843/126
843/126 simplified gives 281/42
So, 75/14 + 12/9 = 281/42
In mixed form: 629/42

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