Add 7/2 and 14/21
1st number: 3 1/2, 2nd number: 14/21
72 + 1421 is 256.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 2 and 21 is 42
Next, find the equivalent fraction of both fractional numbers with denominator 42 - For the 1st fraction, since 2 × 21 = 42,
72 = 7 × 212 × 21 = 14742 - Likewise, for the 2nd fraction, since 21 × 2 = 42,
1421 = 14 × 221 × 2 = 2842 - Add the two like fractions:
14742 + 2842 = 147 + 2842 = 17542 - 175/42 simplified gives 256
- So, 7/2 + 14/21 = 25/6
In mixed form: 416
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