Write 1 3/5 as a improper fraction
The Correct Answer and Explanation is :
To convert the mixed number 1 3/5 into an improper fraction, we follow these steps:
Step 1: Understand the mixed number format
A mixed number consists of a whole number and a fraction. In this case, 1 3/5 means:
- 1 whole
- 3/5 as a fraction.
Step 2: Convert the whole number into a fraction
To do this, we take the whole number (1) and express it as a fraction. Since any whole number can be written as a fraction with a denominator of 1, we can write 1 as:
[
1 = \frac{5}{5}
]
Step 3: Add the fraction to the whole number
Now that we have 1 as 5/5, we can add the fractional part 3/5 to it:
[
\frac{5}{5} + \frac{3}{5}
]
Step 4: Add the fractions
Since both fractions have the same denominator (5), we simply add the numerators:
[
\frac{5 + 3}{5} = \frac{8}{5}
]
Final Answer:
The improper fraction equivalent of 1 3/5 is 8/5.
Explanation:
A mixed number is composed of a whole number and a fraction. To convert it to an improper fraction, we need to express the whole number as a fraction and then add it to the existing fraction. The key here is recognizing that 1 can be rewritten as 5/5 when the denominator of the fraction is 5. By adding the two fractions together, we get an improper fraction where the numerator is larger than the denominator. Improper fractions are useful in mathematical operations because they simplify the process of addition, subtraction, multiplication, and division.