Write the improper fraction as a mixed number in simplest form. 22/9
The correct answer and explanation is:
Correct Answer:
22/9 as a mixed number in simplest form is 2 4/9
Explanation (300 words):
An improper fraction is a fraction where the numerator (the top number) is greater than or equal to the denominator (the bottom number). In this case, 22/9 is improper because 22 is greater than 9.
To convert an improper fraction to a mixed number, follow these steps:
Step 1: Divide the numerator by the denominator.
We divide 22 ÷ 9:
- 9 goes into 22 two times because 9×2=189 \times 2 = 18.
- After subtracting, 22−18=422 – 18 = 4.
So, the quotient is 2 and the remainder is 4.
Step 2: Write the mixed number.
A mixed number has two parts:
- A whole number part: this is the quotient, which is 2.
- A fractional part: this is the remainder over the original denominator, so 4/9.
So, 22/9 = 2 4/9.
Step 3: Simplify the fraction (if needed).
In this case, 4/9 is already in its simplest form because 4 and 9 have no common factors other than 1.
Final Answer:
249\boxed{2 \dfrac{4}{9}}
Why this is important:
Understanding how to convert improper fractions into mixed numbers is important in both math and real-life situations. For example, if you are measuring something and get a value of 22/9 meters, it’s much easier to understand it as 2 and 4/9 meters. It helps with clearer communication and better number sense.
Also, being able to simplify fractions helps you work with cleaner, easier-to-read values in math problems, science experiments, cooking recipes, and many everyday tasks.