Evaluate 2/3-1/4

Problem

2/3−1/4

Solution

1. Find a common denominator by identifying the least common multiple of the denominators 3 and 4 which is 12

2. Rewrite the first fraction by multiplying both the numerator and the denominator of 2/3 by 4

(2⋅4)/(3⋅4)=8/12

3. Rewrite the second fraction by multiplying both the numerator and the denominator of 1/4 by 3

(1⋅3)/(4⋅3)=3/12

4. Subtract the numerators while keeping the common denominator.

8/12−3/12=(8−3)/12

5. Simplify the resulting fraction.

5/12

Final Answer

2/3−1/4=5/12

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