Add 84/35 and 49/42
1st number: 2 14/35, 2nd number: 1 7/42
84/35 + 49/42 is 107/30.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 35 and 42 is 210
Next, find the equivalent fraction of both fractional numbers with denominator 210 - For the 1st fraction, since 35 × 6 = 210,
84/35 = 84 × 6/35 × 6 = 504/210 - Likewise, for the 2nd fraction, since 42 × 5 = 210,
49/42 = 49 × 5/42 × 5 = 245/210 - Add the two like fractions:
504/210 + 245/210 = 504 + 245/210 = 749/210 - 749/210 simplified gives 107/30
- So, 84/35 + 49/42 = 107/30
In mixed form: 317/30
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