Add 84/35 and 49/12
1st number: 2 14/35, 2nd number: 4 1/12
84/35 + 49/12 is 389/60.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 35 and 12 is 420
Next, find the equivalent fraction of both fractional numbers with denominator 420 - For the 1st fraction, since 35 × 12 = 420,
84/35 = 84 × 12/35 × 12 = 1008/420 - Likewise, for the 2nd fraction, since 12 × 35 = 420,
49/12 = 49 × 35/12 × 35 = 1715/420 - Add the two like fractions:
1008/420 + 1715/420 = 1008 + 1715/420 = 2723/420 - 2723/420 simplified gives 389/60
- So, 84/35 + 49/12 = 389/60
In mixed form: 629/60
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