Add 40/84 and 49/35
1st number: 40/84, 2nd number: 1 14/35
40/84 + 49/35 is 197/105.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 84 and 35 is 420
Next, find the equivalent fraction of both fractional numbers with denominator 420 - For the 1st fraction, since 84 × 5 = 420,
40/84 = 40 × 5/84 × 5 = 200/420 - Likewise, for the 2nd fraction, since 35 × 12 = 420,
49/35 = 49 × 12/35 × 12 = 588/420 - Add the two like fractions:
200/420 + 588/420 = 200 + 588/420 = 788/420 - 788/420 simplified gives 197/105
- So, 40/84 + 49/35 = 197/105
In mixed form: 192/105
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