Add 21/14 and 27/16
1st number: 1 7/14, 2nd number: 1 11/16
21/14 + 27/16 is 51/16.
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,
21/14 = 21 × 8/14 × 8 = 168/112 - Likewise, for the 2nd fraction, since 16 × 7 = 112,
27/16 = 27 × 7/16 × 7 = 189/112 - Add the two like fractions:
168/112 + 189/112 = 168 + 189/112 = 357/112 - 357/112 simplified gives 51/16
- So, 21/14 + 27/16 = 51/16
In mixed form: 33/16
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