Add 27/28 and 42/49
27/28 + 42/49 is 51/28.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 28 and 49 is 196
Next, find the equivalent fraction of both fractional numbers with denominator 196 - For the 1st fraction, since 28 × 7 = 196,
27/28 = 27 × 7/28 × 7 = 189/196 - Likewise, for the 2nd fraction, since 49 × 4 = 196,
42/49 = 42 × 4/49 × 4 = 168/196 - Add the two like fractions:
189/196 + 168/196 = 189 + 168/196 = 357/196 - 357/196 simplified gives 51/28
- So, 27/28 + 42/49 = 51/28
In mixed form: 123/28
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