Add 84/21 and 49/42
1st number: 4 0/21, 2nd number: 1 7/42
84/21 + 49/42 is 31/6.
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,
84/21 = 84 × 2/21 × 2 = 168/42 - Likewise, for the 2nd fraction, since 42 × 1 = 42,
49/42 = 49 × 1/42 × 1 = 49/42 - Add the two like fractions:
168/42 + 49/42 = 168 + 49/42 = 217/42 - 217/42 simplified gives 31/6
- So, 84/21 + 49/42 = 31/6
In mixed form: 51/6
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