Add 49/4 and 35/14
1st number: 12 1/4, 2nd number: 2 7/14
49/4 + 35/14 is 59/4.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 4 and 14 is 28
Next, find the equivalent fraction of both fractional numbers with denominator 28 - For the 1st fraction, since 4 × 7 = 28,
49/4 = 49 × 7/4 × 7 = 343/28 - Likewise, for the 2nd fraction, since 14 × 2 = 28,
35/14 = 35 × 2/14 × 2 = 70/28 - Add the two like fractions:
343/28 + 70/28 = 343 + 70/28 = 413/28 - 413/28 simplified gives 59/4
- So, 49/4 + 35/14 = 59/4
In mixed form: 143/4
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