Add 1/2 and 35/49
1/2 + 35/49 is 17/14.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 2 and 49 is 98
Next, find the equivalent fraction of both fractional numbers with denominator 98 - For the 1st fraction, since 2 × 49 = 98,
1/2 = 1 × 49/2 × 49 = 49/98 - Likewise, for the 2nd fraction, since 49 × 2 = 98,
35/49 = 35 × 2/49 × 2 = 70/98 - Add the two like fractions:
49/98 + 70/98 = 49 + 70/98 = 119/98 - 119/98 simplified gives 17/14
- So, 1/2 + 35/49 = 17/14
In mixed form: 13/14
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