Add 84/24 and 40/21
1st number: 3 12/24, 2nd number: 1 19/21
84/24 + 40/21 is 227/42.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 24 and 21 is 168
Next, find the equivalent fraction of both fractional numbers with denominator 168 - For the 1st fraction, since 24 × 7 = 168,
84/24 = 84 × 7/24 × 7 = 588/168 - Likewise, for the 2nd fraction, since 21 × 8 = 168,
40/21 = 40 × 8/21 × 8 = 320/168 - Add the two like fractions:
588/168 + 320/168 = 588 + 320/168 = 908/168 - 908/168 simplified gives 227/42
- So, 84/24 + 40/21 = 227/42
In mixed form: 517/42
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