Add 30/14 and 20/3
1st number: 2 2/14, 2nd number: 6 2/3
30/14 + 20/3 is 185/21.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 14 and 3 is 42
Next, find the equivalent fraction of both fractional numbers with denominator 42 - For the 1st fraction, since 14 × 3 = 42,
30/14 = 30 × 3/14 × 3 = 90/42 - Likewise, for the 2nd fraction, since 3 × 14 = 42,
20/3 = 20 × 14/3 × 14 = 280/42 - Add the two like fractions:
90/42 + 280/42 = 90 + 280/42 = 370/42 - 370/42 simplified gives 185/21
- So, 30/14 + 20/3 = 185/21
In mixed form: 817/21
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