4/5 as a decimal

What does 4/5 as a decimal mean?

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.

What is the answer to 4/5 as a decimal?

The answer to 4/5 as a decimal is 0.8.

What are some ways to solve 4/5 as a decimal?

There are multiple methods to solve 4/5 as a decimal. Let's explore two common methods:

Method 1: Use long division to solve 4/5 as a decimal.

To solve 4/5 as a decimal using long division, follow these steps:

1. Divide 4 by 5: 4 ÷ 5 = 0.8
2. The quotient 0.8 represents the decimal equivalent of 4/5.

Method 2: The denominator becomes 1000 and the numerator is divided by the denominator.

To solve 4/5 as a decimal using this method, follow these steps:

1. Multiply both the numerator and denominator by the same number to make the denominator 1000. In this case, we multiply both 4 and 5 by 200: (4 × 200) ÷ (5 × 200) = 800 ÷ 1000.
2. Simplify the fraction: 800 ÷ 1000 = 0.8.
3. The result 0.8 represents the decimal equivalent of 4/5.

More than 3 solved examples about 4/5 as a decimal and detailed explanation step by step.

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.

What do fractions mean in mathematics?

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.

What symbols are used to represent fractions?

The symbols used to represent fractions are the fraction bar (/) and the vinculum (―). For example, 4/5 or 4―5.

What types of fractions are there?

There are several types of fractions, including:

1. Proper fractions: Fractions where the numerator is smaller than the denominator, such as 2/3.
2. Improper fractions: Fractions where the numerator is equal to or greater than the denominator, such as 7/4.
3. Mixed numbers: A combination of a whole number and a proper fraction, such as 3 1/2.

Components of fractions.

A fraction consists of two components:

1. Numerator: The number above the fraction bar, representing the part of the whole or the dividend.
2. Denominator: The number below the fraction bar, representing the whole or the divisor.

For example, in the fraction 4/5, 4 is the numerator and 5 is the denominator.

What is a decimal?

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.

What symbol is used to represent a decimal?

The symbol used to represent a decimal is a decimal point (.) placed between the whole number part and the fractional part.

Components of decimals.

A decimal consists of two components:

1. Whole number part: The digits to the left of the decimal point, representing the whole value.
2. Fractional part: The digits to the right of the decimal point, representing the fraction or decimal fraction.

For example, in the decimal 3.14, 3 is the whole number part and 14 is the fractional part.

What are the types of decimals?

There are several types of decimals, including:

1. Terminating decimals: Decimals that have a finite number of digits after the decimal point, such as 0.75.
2. Repeating decimals: Decimals that have a repeating pattern of digits after the decimal point, such as 0.3333...
3. Non-terminating and non-repeating decimals: Decimals that have an infinite number of non-repeating digits after the decimal point, such as π (pi) = 3.1415926535897932384626433832795028841971693993751058209749445923078164062862089986280348253421170679...