## Can a repeating decimal be written as a fraction?

A repeating decimal can always be written as a fraction using algebraic methods that are beyond the scope of this article. However, it is important to recognize that any decimal with one or more digits that repeats forever, for example …

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## How would you convert the repeating non terminating decimal to a fraction?

An easy trick to convert a repeating decimal to the fraction form is to write the repeating digits as the numerator over the same number of 9s. Some examples of repeating decimal to fraction are given below: 0.444… = 4/9 (as there is only 1 repeating digit 4, so only one 9 will come in the denominator)

**What is 0.22 repeating as a fraction?**

0.2222… is equal to the fraction with 2 in its numerator (since that’s the single number after the decimal point that’s repeating over and over again) and 9 in its denominator. In other words, 0.2222… = 2/9.

### What is .003 repeating as a fraction?

1/3

Answer: 0.3 repeating as a fraction is equal to 1/3.

### How do you write 0.83 repeating as a fraction?

0.83 repeating as a fraction – YouTube

**What is 1.6 Repeating as a fraction?**

Hence, the fraction of repeating 1.6 is 53.

#### How do you turn 0.425 into a fraction?

So, 0.425 is read 425 thousandths. It is written 4251000 . It is now in fraction form but not reduced to lowest terms. 425 and 1000 have a common factor of 25 , so we have to divide both the numerator and the denominator by 25 to reduce the fraction.

#### What is 0.05 recurring as a fraction?

Answer: 0.05 as a fraction is written as 1/20.

**How do you turn 0.124 into a fraction?**

Step 4 : Simplest Form: 31/250. ∴ 0.124= 31/250.

## Can you write 0.111 as a fraction?

Recap: How to Turn a Repeating Decimal Digit Into a Fraction

The quick and dirty rule we discovered is that these types of repeating decimals are equivalent to the fraction that has the number doing the repeating in its numerator and the number 9 in its denominator. So 0.111… = 1/9, 0.444… = 4/9, 0.777…

## How do you write 0.416 repeating as a fraction?

1 Answer

- 0.41¯6=0.41+0.00¯6.
- if x=0.0066666…. :
- 1000x=6.6666….
- and 100x=0.666666. Then, if we subtract 1000x and 100x, we obtain:
- 900x=6.
- x=6900. So.
- 0.41¯6=0.41+6900=41100+6900. Now multiply 41/100 by 9/9 for equalizing the denominators:
- 369900+6900=375900.

**What is 0.16666 repeating as a fraction?**

The fraction 16=0.16666… =0.1˙6. Only the digit 6 repeats indefinitely. This is an example of an eventually recurring decimal.

### What is 42.5% as a fraction?

Solution: 42.5 as a fraction is 85/2.

### What is 0.375 as a fraction?

3/8

Answer: 0.375 can be written as 3/8 in fraction.

Let’s see how to convert a decimal to a fraction.

**How do you write 0.47 repeating as a fraction?**

If you know that 1=0. 9ˉ , then you can say: . 47ˉ=9947.

#### What is 12.4% as a fraction?

2. What is 12.4% in the fraction form? 12.4% in the fraction form is 12.4/100. If you want you can simplify it further as 31/250.

#### How do you convert 1.75 into a fraction?

Answer: 1.75 as a fraction is expressed as 7/4.

**What is 0.33333 repeating as a fraction?**

So we can see that our original decimal of 0.333333… is equal to the fraction 1/3.

## How do you write 0.583 as a fraction?

As others have said 0.583¯3=712 .

## What is .77777 repeating as a fraction?

7/9

So this something, which is actually our repeating decimal 0.777…, is just equal to 7/9. If you need a more thorough reminder about how this all works, you can go back and take a look at the last article where we explain it in much more detail.

**What is 0.6% as a fraction in simplest form?**

3/5

∴ The simplest form of 0. 6=3/5.

### What is 0.2% as a fraction?

1/5

Firstly, to write 0.2 as a fraction, we convert decimal to fraction. For that, we divide the number by 1 and multiply the top and bottom by 10. So, 0.2/1 × 10/10 = 2/10, which can be reduced further to 1/5.

### What is 0.1212 Repeating as a fraction?

Use 100 since there are 2 digits repeating. Divide the repeating digits by the difference between the power of 10 used to multiply the decimal and 1. Therefore, the fraction form of 0.1212 is 433.

**What is 0.875 as a fraction?**

7/8

Doing so, we find that 0.875 = 875/1000 is equivalent to 7/8.