Add 10/20 and 30/42
10/20 + 30/42 is 17/14.
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,
10/20 = 10 × 21/20 × 21 = 210/420 - Likewise, for the 2nd fraction, since 42 × 10 = 420,
30/42 = 30 × 10/42 × 10 = 300/420 - Add the two like fractions:
210/420 + 300/420 = 210 + 300/420 = 510/420 - 510/420 simplified gives 17/14
- So, 10/20 + 30/42 = 17/14
In mixed form: 13/14
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