Add 30/3 and 21/14
1st number: 10 0/3, 2nd number: 1 7/14
30/3 + 21/14 is 23/2.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 3 and 14 is 42
Next, find the equivalent fraction of both fractional numbers with denominator 42 - For the 1st fraction, since 3 × 14 = 42,
30/3 = 30 × 14/3 × 14 = 420/42 - Likewise, for the 2nd fraction, since 14 × 3 = 42,
21/14 = 21 × 3/14 × 3 = 63/42 - Add the two like fractions:
420/42 + 63/42 = 420 + 63/42 = 483/42 - 483/42 simplified gives 23/2
- So, 30/3 + 21/14 = 23/2
In mixed form: 111/2
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