Add 40/12 and 20/21
1st number: 3 4/12, 2nd number: 20/21
40/12 + 20/21 is 30/7.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 12 and 21 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 21 × 4 = 84,
20/21 = 20 × 4/21 × 4 = 80/84 - Add the two like fractions:
280/84 + 80/84 = 280 + 80/84 = 360/84 - 360/84 simplified gives 30/7
- So, 40/12 + 20/21 = 30/7
In mixed form: 42/7
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