Add 21/3 and 40/42
1st number: 7 0/3, 2nd number: 40/42
21/3 + 40/42 is 167/21.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 3 and 42 is 42
Next, find the equivalent fraction of both fractional numbers with denominator 42 - For the 1st fraction, since 3 × 14 = 42,
21/3 = 21 × 14/3 × 14 = 294/42 - Likewise, for the 2nd fraction, since 42 × 1 = 42,
40/42 = 40 × 1/42 × 1 = 40/42 - Add the two like fractions:
294/42 + 40/42 = 294 + 40/42 = 334/42 - 334/42 simplified gives 167/21
- So, 21/3 + 40/42 = 167/21
In mixed form: 720/21
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