Add 10/6 and 35/21
1st number: 1 4/6, 2nd number: 1 14/21
10/6 + 35/21 is 10/3.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 6 and 21 is 42
Next, find the equivalent fraction of both fractional numbers with denominator 42 - For the 1st fraction, since 6 × 7 = 42,
10/6 = 10 × 7/6 × 7 = 70/42 - Likewise, for the 2nd fraction, since 21 × 2 = 42,
35/21 = 35 × 2/21 × 2 = 70/42 - Add the two like fractions:
70/42 + 70/42 = 70 + 70/42 = 140/42 - 140/42 simplified gives 10/3
- So, 10/6 + 35/21 = 10/3
In mixed form: 31/3
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