Add 14/4 and 9/21, Solve 3 2/4 + 9/21 as a fraction

Add 14/4 and 9/21

1^st number: 3 2/4, 2^nd number: 9/21

14/4 + 9/21 is 55/14.

Find the least common denominator or LCM of the two denominators:
LCM of 4 and 21 is 84

Next, find the equivalent fraction of both fractional numbers with denominator 84
For the 1st fraction, since 4 × 21 = 84,
14/4 = 14 × 21/4 × 21 = 294/84
Likewise, for the 2nd fraction, since 21 × 4 = 84,
9/21 = 9 × 4/21 × 4 = 36/84
Add the two like fractions:
294/84 + 36/84 = 294 + 36/84 = 330/84
330/84 simplified gives 55/14
So, 14/4 + 9/21 = 55/14
In mixed form: 313/14

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