Add 12/20 and 20/42
12/20 + 20/42 is 113/105.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 20 and 42 is 420
Next, find the equivalent fraction of both fractional numbers with denominator 420 - For the 1st fraction, since 20 × 21 = 420,
12/20 = 12 × 21/20 × 21 = 252/420 - Likewise, for the 2nd fraction, since 42 × 10 = 420,
20/42 = 20 × 10/42 × 10 = 200/420 - Add the two like fractions:
252/420 + 200/420 = 252 + 200/420 = 452/420 - 452/420 simplified gives 113/105
- So, 12/20 + 20/42 = 113/105
In mixed form: 18/105
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