What is 9/4 as a decimal?
The fraction 9/4 represents a division problem: 9 divided by 4. To convert this fraction into a decimal, we perform the division:
9 ÷ 4 = 2.25
Therefore, 9/4 as a decimal is 2.25.
Here's why this works:
- Fractions represent parts of a whole. 9/4 means we have 9 parts out of a whole that's divided into 4 equal parts.
- Decimals represent numbers with fractional parts. The decimal point separates the whole number part (2 in this case) from the fractional part (0.25).
Let's explore some ways to visualize this:
1. Using a pie: Imagine a pie cut into 4 equal slices. If you have 9 of these slices, you have more than two whole pies (because 4 slices make a whole pie, and you have 9). You have two whole pies and one extra slice, which is 1/4 of a pie. This can be represented as 2.25.
2. Using a number line: Locate the number 2 on a number line. Then, divide the space between 2 and 3 into 4 equal parts. 9/4 will fall on the third mark after 2, which corresponds to 2.25.
Remember: Converting fractions to decimals is useful for performing calculations, comparing values, and understanding the relationship between fractions and decimals.