11/8 into a mixed number
The Correct Answer and Explanation is:
To convert the improper fraction ( \frac{11}{8} ) into a mixed number, we follow these steps:
- Divide the numerator by the denominator:
- Divide 11 by 8: ( 11 \div 8 = 1 ) (quotient), with a remainder of 3.
- Write the result as a mixed number:
- The quotient (1) becomes the whole number part of the mixed number.
- The remainder (3) becomes the new numerator, while the denominator (8) stays the same.
- So, ( \frac{11}{8} = 1 \frac{3}{8} ).
The correct answer is ( 1 \frac{3}{8} ).
Detailed Explanation:
An improper fraction is a fraction where the numerator (the top number) is greater than the denominator (the bottom number), meaning the value is more than one whole unit. The goal of converting an improper fraction into a mixed number is to express the fraction as a combination of a whole number and a proper fraction.
For ( \frac{11}{8} ), the numerator is 11, and the denominator is 8. To convert this fraction into a mixed number, we first divide the numerator (11) by the denominator (8) to find out how many whole parts there are. In this case, 11 divided by 8 equals 1 with a remainder of 3. This means that there is one whole part, and the remainder, which is 3, represents the leftover part of the fraction.
To represent the remainder, we write it as a fraction with the same denominator, giving us ( \frac{3}{8} ). The final mixed number is therefore ( 1 \frac{3}{8} ).
Mixed numbers are useful because they make it easier to understand quantities that include both whole numbers and fractions. For example, if you were working with measurements or portions in cooking, expressing quantities like 1 ( \frac{3}{8} ) helps clarify that there is one whole unit plus an additional fraction.