4/3 as decimal

What does 4/3 as decimal mean?

When we say "4/3 as a decimal," we are referring to the decimal representation of the fraction 4/3. In other words, we want to express the fraction as a decimal number.

What is the answer to 4/3 as decimal?

The answer to 4/3 as a decimal is approximately 1.33333.

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

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

Method 1: Long Division

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 get 10.
4. Divide 10 by 3: 10 ÷ 3 = 3 remainder 1.
5. Write down the quotient, which is 3.
6. Repeat steps 3-5 until you reach the desired level of precision or until the decimal terminates.

The decimal representation of 4/3 using long division is 1.33333.

Method 2: Denominator as 1000

Another method to solve 4/3 as a decimal is by converting the fraction to an equivalent fraction with a denominator of 1000. Here's how:

1. Multiply both the numerator and denominator of 4/3 by the same value to get an equivalent fraction with a denominator of 1000.
   • Multiply the numerator (4) by 333: 4 × 333 = 1332.
   • Multiply the denominator (3) by 333: 3 × 333 = 999.
2. The equivalent fraction of 4/3 with a denominator of 1000 is 1332/999.
3. Divide the numerator (1332) by the denominator (999) using long division or a calculator.
   • The decimal representation of 1332/999 is 1.33333.

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

Example 1: Solve 4/3 as a decimal using long division.

   1.33333
   _______
3 | 4.00000
   -3
   -----
    10
    -9
    ---
     10
     -9
     ---
      10
      -9
      ---
       10
       -9
       ---
        1

Example 2: Solve 4/3 as a decimal using the denominator as 1000.

4/3 = (4 × 333) / (3 × 333) = 1332/999 ≈ 1.33333

Example 3: Solve 4/3 as a decimal using a calculator.

4 ÷ 3 = 1.33333

What do fractions mean in mathematics?

In mathematics, fractions represent a part of a whole or a division of one quantity by another. They are used to express numbers that are not whole numbers or integers. Fractions consist of a numerator (the top number) and a denominator (the bottom number), separated by a fraction bar.

What symbols are used to represent fractions?

The symbols used to represent fractions are the fraction bar ("/") and the division slash ("÷"). For example, 4/3 and 4 ÷ 3 both represent the fraction 4/3.

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 (e.g., 1/2, 3/4).
2. Improper fractions: Fractions where the numerator is equal to or greater than the denominator (e.g., 5/4, 7/3).
3. Mixed numbers: A combination of a whole number and a proper fraction (e.g., 1 1/2, 2 3/4).
4. Equivalent fractions: Fractions that represent the same value but have different numerators and denominators (e.g., 1/2 and 2/4).

Components of fractions.

A fraction consists of two components:

1. Numerator: The numerator represents the number of parts we have or the quantity being considered.
2. Denominator: The denominator represents the total number of equal parts into which the whole is divided or the size of each part.

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

What is a decimal?

A decimal is a number expressed in the base-10 system, using the digits 0-9 and a decimal point. It represents a part of a whole or a fraction. Decimals can be finite (terminating) or infinite (repeating).

What symbol is used to represent a decimal?

The symbol used to represent a decimal is a decimal point ("."). For example, 1.5 and 3.14159 are decimal numbers.

Components of decimals.

A decimal number consists of two components:

1. Whole number part: The digits to the left of the decimal point represent the whole number part.
2. Decimal part: The digits to the right of the decimal point represent the decimal part.

For example, in the decimal number 3.14159, 3 is the whole number part, and 14159 is the decimal part.

What are the types of decimals?

There are several types of decimals, including:

1. Terminating decimals: Decimals that end or terminate after a finite number of decimal places (e.g., 0.25, 0.75).
2. Repeating decimals: Decimals that have a repeating pattern of digits after the decimal point (e.g., 0.333..., 0.142857...).
3. Non-terminating decimals: Decimals that continue indefinitely without repeating (e.g., π = 3.14159...).