1 1/5 as improper fraction
The Correct Answer and Explanation is:
To convert the mixed number 1 1/5 into an improper fraction, follow these steps:
Step 1: Understand the components of the mixed number.
- 1 is the whole number part.
- 1/5 is the fractional part.
Step 2: Multiply the whole number by the denominator of the fraction.
The whole number part is 1, and the denominator of the fraction is 5. Multiply 1 by 5:
[
1 \times 5 = 5
]
Step 3: Add the result to the numerator of the fractional part.
The fractional part is 1/5, where 1 is the numerator. Now, add the result from Step 2 (which is 5) to the numerator:
[
5 + 1 = 6
]
Step 4: Write the sum as the numerator of the improper fraction, with the original denominator.
Now, we write the sum (6) as the numerator of the improper fraction, and the denominator remains 5. Therefore, 1 1/5 as an improper fraction is:
[
\frac{6}{5}
]
Explanation:
A mixed number is a number that consists of a whole number and a fraction. When you want to convert a mixed number into an improper fraction, the goal is to represent the mixed number as a single fraction.
The reason we multiply the whole number by the denominator and then add the numerator is that we want to express the entire value of the whole number part as a fraction. In this case, 1 whole is equivalent to 5/5, and when we add the fractional part (1/5), we get the improper fraction 6/5.
Improper fractions are useful because they allow us to perform operations (like addition, subtraction, multiplication, and division) more easily when dealing with fractions. Converting a mixed number to an improper fraction is a step that simplifies many mathematical processes.