Add 6/35 and 40/42
6/35 + 40/42 is 118/105.
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,
6/35 = 6 × 6/35 × 6 = 36/210 - Likewise, for the 2nd fraction, since 42 × 5 = 210,
40/42 = 40 × 5/42 × 5 = 200/210 - Add the two like fractions:
36/210 + 200/210 = 36 + 200/210 = 236/210 - 236/210 simplified gives 118/105
- So, 6/35 + 40/42 = 118/105
In mixed form: 113/105
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