Add 10/3 and 21/14
1st number: 3 1/3, 2nd number: 1 7/14
10/3 + 21/14 is 29/6.
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,
10/3 = 10 × 14/3 × 14 = 140/42 - Likewise, for the 2nd fraction, since 14 × 3 = 42,
21/14 = 21 × 3/14 × 3 = 63/42 - Add the two like fractions:
140/42 + 63/42 = 140 + 63/42 = 203/42 - 203/42 simplified gives 29/6
- So, 10/3 + 21/14 = 29/6
In mixed form: 45/6
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