mathshowcase.infoWhat is 4 4/7 as a decimal?
In mathematics, converting fractions to decimals is a common task. Let's go through the process of converting the fraction 4 4/7 to a decimal.
You can try other fractional values to get more familiar with the conversion guide.
Often, convert 4 9/16 to a decimal or 23/5 to a decimal, depending on the task.
What is 4 4/7?
A fraction consists of two numbers: the numerator (top number) and the denominator (bottom number). In the fraction 4 4/7: 4 is the whole number, 4 is the numerator, and 7 is the denominator. First, convert the mixed fraction to an improper fraction. Multiply the whole number 4 by the denominator 7, then add the numerator 4: (4 × 7 + 4). To find the value of the fraction, divide the numerator 32 by the denominator 7.
Conversion formula (equation):
Solution:
What is a fraction?
A fraction consists of two parts: the numerator on top and the denominator below. It shows parts of a whole and is used to compare values.
What is a decimal?
A decimal is a number system that includes a decimal point. This point separates the whole number from the fractional part. It is an easy way to express values less than one.
Conversion Steps:
To convert 4 4/7 to a decimal, follow these steps:
- Step 1: Convert to an improper fraction. Start by converting the mixed fraction to an improper fraction. Multiply the integer part 4 by the denominator 7, and add the numerator 4.
- Step 2: Set up the division. Divide the numerator 32 by the denominator 7. It will look like this: 32 ÷ 7.
- Step 3: Perform the division. Use a calculator to divide 32 by 7, or do it manually.
- Step 4: Identify the decimal. The result will be a decimal. When 32 is divided by 7, you get 4.5714285714286.
Rounding and Interpretation:
The decimal 4.5714285714286 is recurring. We often round it to make it simpler, like 4.571. This rounded value is the decimal equivalent of the fraction 4 4/7.