Add 8/21 and 30/42
8/21 + 30/42 is 23/21.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 21 and 42 is 42
Next, find the equivalent fraction of both fractional numbers with denominator 42 - For the 1st fraction, since 21 × 2 = 42,
8/21 = 8 × 2/21 × 2 = 16/42 - Likewise, for the 2nd fraction, since 42 × 1 = 42,
30/42 = 30 × 1/42 × 1 = 30/42 - Add the two like fractions:
16/42 + 30/42 = 16 + 30/42 = 46/42 - 46/42 simplified gives 23/21
- So, 8/21 + 30/42 = 23/21
In mixed form: 12/21
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