Add 35/14 and 49/20
1st number: 2 7/14, 2nd number: 2 9/20
35/14 + 49/20 is 99/20.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 14 and 20 is 140
Next, find the equivalent fraction of both fractional numbers with denominator 140 - For the 1st fraction, since 14 × 10 = 140,
35/14 = 35 × 10/14 × 10 = 350/140 - Likewise, for the 2nd fraction, since 20 × 7 = 140,
49/20 = 49 × 7/20 × 7 = 343/140 - Add the two like fractions:
350/140 + 343/140 = 350 + 343/140 = 693/140 - 693/140 simplified gives 99/20
- So, 35/14 + 49/20 = 99/20
In mixed form: 419/20
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