Add 35/14 and 45/21
1st number: 2 7/14, 2nd number: 2 3/21
35/14 + 45/21 is 65/14.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 14 and 21 is 42
Next, find the equivalent fraction of both fractional numbers with denominator 42 - For the 1st fraction, since 14 × 3 = 42,
35/14 = 35 × 3/14 × 3 = 105/42 - Likewise, for the 2nd fraction, since 21 × 2 = 42,
45/21 = 45 × 2/21 × 2 = 90/42 - Add the two like fractions:
105/42 + 90/42 = 105 + 90/42 = 195/42 - 195/42 simplified gives 65/14
- So, 35/14 + 45/21 = 65/14
In mixed form: 49/14
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