mathshowcase.infoWhat is 5 5/32 as a decimal?
In mathematics, converting fractions to decimals is a common task. Let's go through the process of converting the fraction 5 5/32 to a decimal.
You can try other fractional values to get more familiar with the conversion guide.
Often, convert 5 1/8 to a decimal or 31/6 to a decimal, depending on the task.
What is 5 5/32?
A fraction consists of two numbers: the numerator (top number) and the denominator (bottom number). In the fraction 5 5/32: 5 is the whole number, 5 is the numerator, and 32 is the denominator. First, convert the mixed fraction to an improper fraction. Multiply the whole number 5 by the denominator 32, then add the numerator 5: (5 × 32 + 5). To find the value of the fraction, divide the numerator 165 by the denominator 32.
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 5 5/32 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 5 by the denominator 32, and add the numerator 5.
- Step 2: Set up the division. Divide the numerator 165 by the denominator 32. It will look like this: 165 ÷ 32.
- Step 3: Perform the division. Use a calculator to divide 165 by 32, or do it manually.
- Step 4: Identify the decimal. The result will be a decimal. When 165 is divided by 32, you get 5.15625.
Rounding and Interpretation:
The decimal 5.15625 is recurring. We often round it to make it simpler, like 5.156. This rounded value is the decimal equivalent of the fraction 5 5/32.