When we express a fraction as a decimal, we are converting it into a decimal representation. In the case of 4/5 as a decimal, we want to find the decimal equivalent of the fraction 4/5.
The answer to 4/5 as a decimal is 0.8.
There are multiple methods to solve 4/5 as a decimal. Let's explore two common methods:
To solve 4/5 as a decimal using long division, follow these steps:
To solve 4/5 as a decimal using this method, follow these steps:
Example 1: To find the decimal equivalent of 4/5, we can use long division:
0.8
---------
5 | 4.0
- 4
---
0
The quotient is 0.8, so 4/5 as a decimal is 0.8.
Example 2: Let's use the second method:
4 × 200 = 800
5 × 200 = 1000
Therefore, 4/5 as a decimal is 800 ÷ 1000 = 0.8.
Example 3: Using long division:
0.8
---------
5 | 4.00
- 4
---
0 0
The quotient is 0.8, so 4/5 as a decimal is 0.8.
Example 4: Using the second method:
4 × 200 = 800
5 × 200 = 1000
Therefore, 4/5 as a decimal is 800 ÷ 1000 = 0.8.
Example 5: Using long division:
0.8
---------
5 | 4.000
- 4
---
0 0 0
The quotient is 0.8, so 4/5 as a decimal is 0.8.
Example 6: Using the second method:
4 × 200 = 800
5 × 200 = 1000
Therefore, 4/5 as a decimal is 800 ÷ 1000 = 0.8.
In mathematics, fractions represent a part of a whole or a division of quantities. They are used to express numbers that are not whole numbers, allowing us to represent values between integers.
The symbols used to represent fractions are the fraction bar (/) and the vinculum (―). For example, 4/5 or 4―5.
There are several types of fractions, including:
A fraction consists of two components:
For example, in the fraction 4/5, 4 is the numerator and 5 is the denominator.
A decimal is a way to represent numbers using a base-10 numbering system. It consists of digits (0-9) and a decimal point. Decimals allow us to express numbers that are not whole numbers, including fractions and irrational numbers.
The symbol used to represent a decimal is a decimal point (.) placed between the whole number part and the fractional part.
A decimal consists of two components:
For example, in the decimal 3.14, 3 is the whole number part and 14 is the fractional part.
There are several types of decimals, including: