Add 40/12 and 21/42
1st number: 3 4/12, 2nd number: 21/42
40/12 + 21/42 is 23/6.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 12 and 42 is 84
Next, find the equivalent fraction of both fractional numbers with denominator 84 - For the 1st fraction, since 12 × 7 = 84,
40/12 = 40 × 7/12 × 7 = 280/84 - Likewise, for the 2nd fraction, since 42 × 2 = 84,
21/42 = 21 × 2/42 × 2 = 42/84 - Add the two like fractions:
280/84 + 42/84 = 280 + 42/84 = 322/84 - 322/84 simplified gives 23/6
- So, 40/12 + 21/42 = 23/6
In mixed form: 35/6
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