Add 10/42 and 10/20
10/42 + 10/20 is 31/42.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 42 and 20 is 420
Next, find the equivalent fraction of both fractional numbers with denominator 420 - For the 1st fraction, since 42 × 10 = 420,
10/42 = 10 × 10/42 × 10 = 100/420 - Likewise, for the 2nd fraction, since 20 × 21 = 420,
10/20 = 10 × 21/20 × 21 = 210/420 - Add the two like fractions:
100/420 + 210/420 = 100 + 210/420 = 310/420 - 310/420 simplified gives 31/42
- So, 10/42 + 10/20 = 31/42
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