Add 40/6 and 21/14
1st number: 6 4/6, 2nd number: 1 7/14
40/6 + 21/14 is 49/6.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 6 and 14 is 42
Next, find the equivalent fraction of both fractional numbers with denominator 42 - For the 1st fraction, since 6 × 7 = 42,
40/6 = 40 × 7/6 × 7 = 280/42 - Likewise, for the 2nd fraction, since 14 × 3 = 42,
21/14 = 21 × 3/14 × 3 = 63/42 - Add the two like fractions:
280/42 + 63/42 = 280 + 63/42 = 343/42 - 343/42 simplified gives 49/6
- So, 40/6 + 21/14 = 49/6
In mixed form: 81/6
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