Add 40/12 and 49/35
1st number: 3 4/12, 2nd number: 1 14/35
40/12 + 49/35 is 71/15.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 12 and 35 is 420
Next, find the equivalent fraction of both fractional numbers with denominator 420 - For the 1st fraction, since 12 × 35 = 420,
40/12 = 40 × 35/12 × 35 = 1400/420 - Likewise, for the 2nd fraction, since 35 × 12 = 420,
49/35 = 49 × 12/35 × 12 = 588/420 - Add the two like fractions:
1400/420 + 588/420 = 1400 + 588/420 = 1988/420 - 1988/420 simplified gives 71/15
- So, 40/12 + 49/35 = 71/15
In mixed form: 411/15
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