Add 75/18 and 56/21, Solve 4 3/18 + 2 14/21 as a fraction

Add 75/18 and 56/21

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

75/18 + 56/21 is 41/6.

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,
56/21 = 56 × 6/21 × 6 = 336/126
Add the two like fractions:
525/126 + 336/126 = 525 + 336/126 = 861/126
861/126 simplified gives 41/6
So, 75/18 + 56/21 = 41/6
In mixed form: 65/6

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