Add 3/35 and 20/42
3/35 + 20/42 is 59/105.
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,
20/42 = 20 × 5/42 × 5 = 100/210 - Add the two like fractions:
18/210 + 100/210 = 18 + 100/210 = 118/210 - 118/210 simplified gives 59/105
- So, 3/35 + 20/42 = 59/105
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