Subtract Dissimilar Fractions 11/12 – 5/6 = ….? A. 1/2 B. 1/5 C. 1/6 D. 1/12
The Correct Answer and Explanation is:
To subtract the fractions 11/12 and 5/6, we first need to make sure that the fractions have the same denominator.
Step 1: Find a common denominator
The denominators are 12 and 6. The least common denominator (LCD) of 12 and 6 is 12, because 12 is the smallest number that both 12 and 6 divide into evenly.
Step 2: Rewrite 5/6 with denominator 12
To change the denominator of 5/6 to 12, we multiply both the numerator and denominator by 2: 56=5×26×2=1012\frac{5}{6} = \frac{5 \times 2}{6 \times 2} = \frac{10}{12}65=6×25×2=1210
Now, the two fractions have the same denominator: 1112−1012\frac{11}{12} – \frac{10}{12}1211−1210
Step 3: Perform the subtraction
Now that the fractions have the same denominator, we can subtract the numerators: 1112−1012=11−1012=112\frac{11}{12} – \frac{10}{12} = \frac{11 – 10}{12} = \frac{1}{12}1211−1210=1211−10=121
Final Answer:
The result of subtracting 5/6 from 11/12 is 1/12, which corresponds to option D.
Explanation:
The key to subtracting fractions with different denominators is to first find a common denominator. In this case, the least common denominator (LCD) between 12 and 6 was 12. Once the fractions were expressed with the same denominator, the subtraction could be done simply by subtracting the numerators. This method ensures that the operation is valid and the result is accurate.
