Add 27/35 and 14/42
27/35 + 14/42 is 116/105.
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,
27/35 = 27 × 6/35 × 6 = 162/210 - Likewise, for the 2nd fraction, since 42 × 5 = 210,
14/42 = 14 × 5/42 × 5 = 70/210 - Add the two like fractions:
162/210 + 70/210 = 162 + 70/210 = 232/210 - 232/210 simplified gives 116/105
- So, 27/35 + 14/42 = 116/105
In mixed form: 111/105
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