Add 30/14 and 75/32, Solve 2 2/14 + 2 11/32 as a fraction

Add 30/14 and 75/32

1^st number: 2 2/14, 2^nd number: 2 11/32

30/14 + 75/32 is 1005/224.

Find the least common denominator or LCM of the two denominators:
LCM of 14 and 32 is 224

Next, find the equivalent fraction of both fractional numbers with denominator 224
For the 1st fraction, since 14 × 16 = 224,
30/14 = 30 × 16/14 × 16 = 480/224
Likewise, for the 2nd fraction, since 32 × 7 = 224,
75/32 = 75 × 7/32 × 7 = 525/224
Add the two like fractions:
480/224 + 525/224 = 480 + 525/224 = 1005/224
So, 30/14 + 75/32 = 1005/224
In mixed form: 4109/224

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