Add 49/14 and 49/16
1st number: 3 7/14, 2nd number: 3 1/16
49/14 + 49/16 is 105/16.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 14 and 16 is 112
Next, find the equivalent fraction of both fractional numbers with denominator 112 - For the 1st fraction, since 14 × 8 = 112,
49/14 = 49 × 8/14 × 8 = 392/112 - Likewise, for the 2nd fraction, since 16 × 7 = 112,
49/16 = 49 × 7/16 × 7 = 343/112 - Add the two like fractions:
392/112 + 343/112 = 392 + 343/112 = 735/112 - 735/112 simplified gives 105/16
- So, 49/14 + 49/16 = 105/16
In mixed form: 69/16
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