Add 40/12 and 84/21
1st number: 3 4/12, 2nd number: 4 0/21
40/12 + 84/21 is 22/3.
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,
84/21 = 84 × 4/21 × 4 = 336/84 - Add the two like fractions:
280/84 + 336/84 = 280 + 336/84 = 616/84 - 616/84 simplified gives 22/3
- So, 40/12 + 84/21 = 22/3
In mixed form: 71/3
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