Add 30/14 and 45/32, Solve 2 2/14 + 1 13/32 as a fraction

Add 30/14 and 45/32

1^st number: 2 2/14, 2^nd number: 1 13/32

30/14 + 45/32 is 795/224.

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,
45/32 = 45 × 7/32 × 7 = 315/224
Add the two like fractions:
480/224 + 315/224 = 480 + 315/224 = 795/224
So, 30/14 + 45/32 = 795/224
In mixed form: 3123/224

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