Add 75/14 and 84/18, Solve 5 5/14 + 4 12/18 as a fraction

Add 75/14 and 84/18

1^st number: 5 5/14, 2^nd number: 4 12/18

75/14 + 84/18 is 421/42.

Find the least common denominator or LCM of the two denominators:
LCM of 14 and 18 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 18 × 7 = 126,
84/18 = 84 × 7/18 × 7 = 588/126
Add the two like fractions:
675/126 + 588/126 = 675 + 588/126 = 1263/126
1263/126 simplified gives 421/42
So, 75/14 + 84/18 = 421/42
In mixed form: 101/42

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