Add 35/3 and 75/7
1st number: 11 2/3, 2nd number: 10 5/7
35/3 + 75/7 is 470/21.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 3 and 7 is 21
Next, find the equivalent fraction of both fractional numbers with denominator 21 - For the 1st fraction, since 3 × 7 = 21,
35/3 = 35 × 7/3 × 7 = 245/21 - Likewise, for the 2nd fraction, since 7 × 3 = 21,
75/7 = 75 × 3/7 × 3 = 225/21 - Add the two like fractions:
245/21 + 225/21 = 245 + 225/21 = 470/21 - So, 35/3 + 75/7 = 470/21
In mixed form: 228/21
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