What is 4 7/10 as a decimal? Tutorial in mathshowcase.info

In mathematics, converting fractions to decimals is a common task. Let's go through the process of converting the fraction 4 7/10 to a decimal.

You can try other fractional values to get more familiar with the conversion guide.

Often, convert 4 2/3 to a decimal or 4 18/25 to a decimal, depending on the task.

What is 4 7/10?

A fraction consists of two numbers: the numerator (top number) and the denominator (bottom number). In the fraction 4 7/10: 4 is the whole number, 7 is the numerator, and 10 is the denominator. First, convert the mixed fraction to an improper fraction. Multiply the whole number 4 by the denominator 10, then add the numerator 7: (4 × 10 + 7). To find the value of the fraction, divide the numerator 47 by the denominator 10.

Conversion formula (equation):

$4 \frac{7}{10} = \frac{4 × 10 + 7}{10} = \frac{47}{10} = 4.7$

Solution:

$4 \frac{7}{10}$ = 4.7

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 7/10 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 10, and add the numerator 7.
Step 2: Set up the division. Divide the numerator 47 by the denominator 10. It will look like this: 47 ÷ 10.
Step 3: Perform the division. Use a calculator to divide 47 by 10, or do it manually.
Step 4: Identify the decimal. The result will be a decimal. When 47 is divided by 10, you get 4.7.

What is 4 7/10 as a decimal?