4/3 as a decimal

What does 4/3 as a decimal mean?

When we express a fraction as a decimal, we are converting it into a decimal representation. In the case of 4/3, we want to find the decimal equivalent of this fraction.

What is the answer to 4/3 as a decimal?

The answer to 4/3 as a decimal is approximately 1.3333.

What are some ways to solve 4/3 as a decimal?

There are multiple methods to solve 4/3 as a decimal. Let's explore two common methods:

Method 1: Use long division to solve 4/3 as a decimal.

To solve 4/3 as a decimal using long division, follow these steps:

1. Divide 4 by 3: 4 ÷ 3 = 1 remainder 1.
2. Write down the quotient, which is 1.
3. Multiply the remainder (1) by 10 to bring down the next digit: 1 × 10 = 10.
4. Divide 10 by 3: 10 ÷ 3 = 3 remainder 1.
5. Write down the quotient, which is 3.
6. Multiply the remainder (1) by 10 again: 1 × 10 = 10.
7. Divide 10 by 3: 10 ÷ 3 = 3 remainder 1.
8. Repeat steps 5-7 until you have the desired level of precision.

The decimal representation of 4/3 using long division is 1.3333.

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

To solve 4/3 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 by 333.3333 (approximately).
   • 4 × 333.3333 = 1333.3332 (approximately)
   • 3 × 333.3333 = 999.9999 (approximately)
2. Divide the new numerator (1333.3332) by the new denominator (999.9999).
   • 1333.3332 ÷ 999.9999 = 1.3333 (approximately)

Again, the decimal representation of 4/3 using this method is approximately 1.3333.

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

Example 1: To convert 4/3 into a decimal using long division:

1. Divide 4 by 3: 4 ÷ 3 = 1 remainder 1.
2. Write down the quotient, which is 1.
3. Multiply the remainder (1) by 10 to bring down the next digit: 1 × 10 = 10.
4. Divide 10 by 3: 10 ÷ 3 = 3 remainder 1.
5. Write down the quotient, which is 3.
6. Multiply the remainder (1) by 10 again: 1 × 10 = 10.
7. Divide 10 by 3: 10 ÷ 3 = 3 remainder 1.
8. Repeat steps 5-7 until you have the desired level of precision.

The decimal representation of 4/3 using long division is 1.3333.

Example 2: To convert 4/3 into a decimal using the second method:

1. Multiply both the numerator and denominator by 333.3333 (approximately).
   • 4 × 333.3333 = 1333.3332 (approximately)
   • 3 × 333.3333 = 999.9999 (approximately)
2. Divide the new numerator (1333.3332) by the new denominator (999.9999).
   • 1333.3332 ÷ 999.9999 = 1.3333 (approximately)

Again, the decimal representation of 4/3 using this method is approximately 1.3333.

Example 3: To convert 4/3 into a decimal using long division:

1. Divide 4 by 3: 4 ÷ 3 = 1 remainder 1.
2. Write down the quotient, which is 1.
3. Multiply the remainder (1) by 10 to bring down the next digit: 1 × 10 = 10.
4. Divide 10 by 3: 10 ÷ 3 = 3 remainder 1.
5. Write down the quotient, which is 3.
6. Multiply the remainder (1) by 10 again: 1 × 10 = 10.
7. Divide 10 by 3: 10 ÷ 3 = 3 remainder 1.
8. Repeat steps 5-7 until you have the desired level of precision.

The decimal representation of 4/3 using long division is 1.3333.

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 whole numbers.

What symbols are used to represent fractions?

The symbols used to represent fractions are the fraction bar (/) and the horizontal line in a fraction. For example, in the fraction 4/3, the fraction bar is used to separate the numerator (4) and the denominator (3).

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 5/3.
3. Mixed numbers: A combination of a whole number and a proper fraction, such as 1 1/2.

Components of fractions.

A fraction consists of two components:

1. Numerator: The number above the fraction bar that represents the part being considered.
2. Denominator: The number below the fraction bar that represents the total number of equal parts in the whole.

For example, in the fraction 4/3, the numerator is 4 and the denominator is 3.

What is a decimal?

A decimal is a way of representing numbers that are not whole numbers. It is based on the powers of 10 and uses a decimal point to separate the whole number part from the fractional part.

What symbol is used to represent decimal?

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

Components of decimals.

A decimal consists of two components:

1. Whole number part: The part of the decimal to the left of the decimal point, which represents a whole number.
2. Fractional part: The part of the decimal to the right of the decimal point, which represents a fraction or a decimal fraction.

For example, in the decimal 1.3333, the whole number part is 1 and the fractional part is 0.3333.

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 do not have a repeating pattern and continue indefinitely without terminating, such as π (pi) = 3.1415926535897932384626433832795028841971693993751058209749445923078164062862089986280348253421170679...

Question: 4/3 as a decimal

The decimal representation of 4/3 is approximately 1.3333.