Add 14/28 and 42/49
14/28 + 42/49 is 19/14.
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,
14/28 = 14 × 7/28 × 7 = 98/196 - Likewise, for the 2nd fraction, since 49 × 4 = 196,
42/49 = 42 × 4/49 × 4 = 168/196 - Add the two like fractions:
98/196 + 168/196 = 98 + 168/196 = 266/196 - 266/196 simplified gives 19/14
- So, 14/28 + 42/49 = 19/14
In mixed form: 15/14
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