Add 14/49 and 35/32, Solve 14/49 + 1 3/32 as a fraction

Add 14/49 and 35/32

1^st number: 14/49, 2^nd number: 1 3/32

14/49 + 35/32 is 309/224.

Find the least common denominator or LCM of the two denominators:
LCM of 49 and 32 is 1568

Next, find the equivalent fraction of both fractional numbers with denominator 1568
For the 1st fraction, since 49 × 32 = 1568,
14/49 = 14 × 32/49 × 32 = 448/1568
Likewise, for the 2nd fraction, since 32 × 49 = 1568,
35/32 = 35 × 49/32 × 49 = 1715/1568
Add the two like fractions:
448/1568 + 1715/1568 = 448 + 1715/1568 = 2163/1568
2163/1568 simplified gives 309/224
So, 14/49 + 35/32 = 309/224
In mixed form: 185/224

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