Add 3/35 and 40/42
3/35 + 40/42 is 109/105.
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,
3/35 = 3 × 6/35 × 6 = 18/210 - Likewise, for the 2nd fraction, since 42 × 5 = 210,
40/42 = 40 × 5/42 × 5 = 200/210 - Add the two like fractions:
18/210 + 200/210 = 18 + 200/210 = 218/210 - 218/210 simplified gives 109/105
- So, 3/35 + 40/42 = 109/105
In mixed form: 14/105
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