1/6 as a decimal

What does 1/6 as a decimal mean?

When we express a fraction as a decimal, we are converting it into a decimal representation. In the case of 1/6 as a decimal, we want to find the decimal equivalent of the fraction 1/6.

What is the answer to 1/6 as a decimal?

The answer to 1/6 as a decimal is 0.166666... (repeating).

What are some ways to solve 1/6 as a decimal?

There are multiple methods to solve 1/6 as a decimal. Let's explore two common methods:

Method 1: Use long division to solve 1/6 as a decimal.

To solve 1/6 as a decimal using long division, follow these steps:

1. Set up the division problem with 1 as the dividend and 6 as the divisor:

   0.1
  ------
6 | 1.0

2. Divide 1 by 6. The quotient is 0 and the remainder is 1.

   0.1
  ------
6 | 1.0
   -0
   ---
    10

3. Bring down a zero after the remainder and continue dividing:

   0.16
  ------
6 | 1.00
   -0
   ---
    10
    -6
   ---
     40

4. Repeat step 3 until the desired level of precision is achieved. In this case, we can see that the decimal representation of 1/6 is 0.166666... (repeating).

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

To solve 1/6 as a decimal using this method, follow these steps:

1. Multiply both the numerator and denominator by the same number to make the denominator a power of 10. In this case, we can multiply by 166 to make the denominator 1000:

1/6 = (1 * 166) / (6 * 166) = 166/996

2. Divide the numerator by the denominator:

166 ÷ 996 = 0.166666... (repeating)

More than 3 solved examples about 1/6 as a decimal and detailed explanation step by step.

Example 1:

1/6 = 0.166666... (repeating)

Example 2:

2/6 = 1/3 = 0.333333... (repeating)

Example 3:

3/6 = 1/2 = 0.5

Example 4:

4/6 = 2/3 = 0.666666... (repeating)

Example 5:

5/6 = 0.833333... (repeating)

In each of these examples, we can see that the decimal representation of the fraction 1/6 is 0.166666... (repeating).

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 or integers. Fractions consist of a numerator (the number above the fraction line) and a denominator (the number below the fraction line). The numerator represents the number of parts we have, while the denominator represents the total number of equal parts in the whole.

What symbols are used to represent fractions?

The symbols used to represent fractions are the fraction bar ("/") and the division slash ("÷"). The fraction bar is commonly used in written form, while the division slash is often used in calculators or computer programs.

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 number above the fraction line that represents the number of parts we have.
2. Denominator: The number below the fraction line that represents the total number of equal parts in the whole.

For example, in the fraction 3/5, 3 is the numerator and 5 is the denominator.

What is a decimal?

A decimal is a way of representing numbers that are not whole numbers or integers. It is a base-10 positional numeral system where each digit represents a different power of 10. Decimals are written using 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 ("."). For example, the decimal representation of 1/2 is 0.5.

Components of decimals.

A decimal consists of two components:

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

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 (e.g., 0.25, 3.75).
2. Repeating decimals: Decimals that have a repeating pattern of digits after the decimal point (e.g., 0.333..., 0.166666...).
3. Non-repeating decimals: Decimals that do not have a repeating pattern of digits after the decimal point (e.g., 0.123456789).

Question: 1/6 as a decimal

As mentioned earlier, the decimal representation of 1/6 is 0.166666... (repeating).