Add 49/4 and 42/49
1st number: 12 1/4, 2nd number: 42/49
49/4 + 42/49 is 367/28.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 4 and 49 is 196
Next, find the equivalent fraction of both fractional numbers with denominator 196 - For the 1st fraction, since 4 × 49 = 196,
49/4 = 49 × 49/4 × 49 = 2401/196 - Likewise, for the 2nd fraction, since 49 × 4 = 196,
42/49 = 42 × 4/49 × 4 = 168/196 - Add the two like fractions:
2401/196 + 168/196 = 2401 + 168/196 = 2569/196 - 2569/196 simplified gives 367/28
- So, 49/4 + 42/49 = 367/28
In mixed form: 133/28
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