Add 14/3 and 40/21
1st number: 4 2/3, 2nd number: 1 19/21
14/3 + 40/21 is 46/7.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 3 and 21 is 21
Next, find the equivalent fraction of both fractional numbers with denominator 21 - For the 1st fraction, since 3 × 7 = 21,
14/3 = 14 × 7/3 × 7 = 98/21 - Likewise, for the 2nd fraction, since 21 × 1 = 21,
40/21 = 40 × 1/21 × 1 = 40/21 - Add the two like fractions:
98/21 + 40/21 = 98 + 40/21 = 138/21 - 138/21 simplified gives 46/7
- So, 14/3 + 40/21 = 46/7
In mixed form: 64/7
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