Add 49/4 and 35/7
1st number: 12 1/4, 2nd number: 5 0/7
49/4 + 35/7 is 69/4.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 4 and 7 is 28
Next, find the equivalent fraction of both fractional numbers with denominator 28 - For the 1st fraction, since 4 × 7 = 28,
49/4 = 49 × 7/4 × 7 = 343/28 - Likewise, for the 2nd fraction, since 7 × 4 = 28,
35/7 = 35 × 4/7 × 4 = 140/28 - Add the two like fractions:
343/28 + 140/28 = 343 + 140/28 = 483/28 - 483/28 simplified gives 69/4
- So, 49/4 + 35/7 = 69/4
In mixed form: 171/4
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