Add 10/28 and 42/49
10/28 + 42/49 is 17/14.
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,
10/28 = 10 × 7/28 × 7 = 70/196 - Likewise, for the 2nd fraction, since 49 × 4 = 196,
42/49 = 42 × 4/49 × 4 = 168/196 - Add the two like fractions:
70/196 + 168/196 = 70 + 168/196 = 238/196 - 238/196 simplified gives 17/14
- So, 10/28 + 42/49 = 17/14
In mixed form: 13/14
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