Add 40/3 and 20/21
1st number: 13 1/3, 2nd number: 20/21
40/3 + 20/21 is 100/7.
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,
40/3 = 40 × 7/3 × 7 = 280/21 - Likewise, for the 2nd fraction, since 21 × 1 = 21,
20/21 = 20 × 1/21 × 1 = 20/21 - Add the two like fractions:
280/21 + 20/21 = 280 + 20/21 = 300/21 - 300/21 simplified gives 100/7
- So, 40/3 + 20/21 = 100/7
In mixed form: 142/7
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