Add 40/42 and 20/3
1st number: 40/42, 2nd number: 6 2/3
40/42 + 20/3 is 160/21.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 42 and 3 is 42
Next, find the equivalent fraction of both fractional numbers with denominator 42 - For the 1st fraction, since 42 × 1 = 42,
40/42 = 40 × 1/42 × 1 = 40/42 - Likewise, for the 2nd fraction, since 3 × 14 = 42,
20/3 = 20 × 14/3 × 14 = 280/42 - Add the two like fractions:
40/42 + 280/42 = 40 + 280/42 = 320/42 - 320/42 simplified gives 160/21
- So, 40/42 + 20/3 = 160/21
In mixed form: 713/21
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