Add 12/20 and 40/42
12/20 + 40/42 is 163/105.
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,
40/42 = 40 × 10/42 × 10 = 400/420 - Add the two like fractions:
252/420 + 400/420 = 252 + 400/420 = 652/420 - 652/420 simplified gives 163/105
- So, 12/20 + 40/42 = 163/105
In mixed form: 158/105
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