Add 75/18 and 35/21, Solve 4 3/18 + 1 14/21 as a fraction

Add 75/18 and 35/21

1^st number: 4 3/18, 2^nd number: 1 14/21

75/18 + 35/21 is 35/6.

Find the least common denominator or LCM of the two denominators:
LCM of 18 and 21 is 126

Next, find the equivalent fraction of both fractional numbers with denominator 126
For the 1st fraction, since 18 × 7 = 126,
75/18 = 75 × 7/18 × 7 = 525/126
Likewise, for the 2nd fraction, since 21 × 6 = 126,
35/21 = 35 × 6/21 × 6 = 210/126
Add the two like fractions:
525/126 + 210/126 = 525 + 210/126 = 735/126
735/126 simplified gives 35/6
So, 75/18 + 35/21 = 35/6
In mixed form: 55/6

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