## 5/6 as a decimal is 0.833…

## Want to practice?

In the fraction **5/6** , the number **5** is

- Numerator
- Denominator
- Decimal
- Fraction

- Numerator

In the fraction **5/6** , the number **6** is

- Numerator
- Denominator
- Decimal
- Fraction

- Denominator

What is the equivalent fraction to **5/6**?

- 30/36
- 40/56
- 20/32
- 35/45

- 30/36

What is the equivalent fraction to **5/6**?

- 25/36
- 36/30
- 15/18
- 15/30

- 15/18

The fraction has two parts- the numerator and the denominator. The number at the top is called the numerator and the number at the bottom is called the denominator.

A fraction can be written in its decimal form by dividing the numerator by the denominator.

Remember that in a division the number that is divided is called the dividend and the number that divides is called the divisor. The resulting answer is called the quotient.

## Solution

Let’s divide 5 by 6. Note that since 5 cannot be divided by 6, you can add zeros (in red) to the dividend by placing a decimal point in the quotient.

Here we can see that once we place the decimal point in the quotient, we can keep adding 0 at each level to make the number divisible.

It can be seen that the division is repeating. Hence the answer is 0.83……. This is written as

The decimals that have one or more numbers repeated are called the **repeating** **decimals**. The digits that are repeated are denoted by placing **a bar** over them.

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