Add 12/5 and 40/84
1st number: 2 2/5, 2nd number: 40/84
12/5 + 40/84 is 302/105.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 5 and 84 is 420
Next, find the equivalent fraction of both fractional numbers with denominator 420 - For the 1st fraction, since 5 × 84 = 420,
12/5 = 12 × 84/5 × 84 = 1008/420 - Likewise, for the 2nd fraction, since 84 × 5 = 420,
40/84 = 40 × 5/84 × 5 = 200/420 - Add the two like fractions:
1008/420 + 200/420 = 1008 + 200/420 = 1208/420 - 1208/420 simplified gives 302/105
- So, 12/5 + 40/84 = 302/105
In mixed form: 292/105
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