Add 35/4 and 28/7
1st number: 8 3/4, 2nd number: 4 0/7
35/4 + 28/7 is 51/4.
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,
35/4 = 35 × 7/4 × 7 = 245/28 - Likewise, for the 2nd fraction, since 7 × 4 = 28,
28/7 = 28 × 4/7 × 4 = 112/28 - Add the two like fractions:
245/28 + 112/28 = 245 + 112/28 = 357/28 - 357/28 simplified gives 51/4
- So, 35/4 + 28/7 = 51/4
In mixed form: 123/4
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