# How do you convert fractions to recuring decimals?

Converting fractions to any kind of decimal is done in exactly the same way: divide the numerator by the denominator. The reverse of converting a recurring decimal to a fra…ction is done: Look at the digits that recur in the decimal. Count how many there are and then put the recurring digits as the numerator of a fraction with that number of 9s as the denominator. eg to convert 0.33333.... to a fraction, see that the recurring decimal is the digit 3, thus the fraction would be 3/9 = 1/3. eg to convert 0.09090909... to a fraction, see that the recurring decimal is 09 (or 9) and there are 2 digits (the leading 0 is important in counting the number of digits), thus the fraction is 09/99 or 9/99 = 1/11. eg: to convert: 0.142857142857.... to a fraction, see that the digits 142857 recur and there are 6 of them, thus it is 142857/999999 which reduces down (simplifies) to 1/7.

# What is 0.037 recurring as a fraction?

1 over 27: 1/27

# 0.74 recurring into a fraction?

Let the recurring decimal be represented by 'n' Then 100n - n = 99n 100 x 0.7474764.... = 74.747474.... Then subtract the original decimal figure. 74.747474..... - 0.747474..…...= 74.0000 = 99n Therefore n = 74 / 99

# How do you turn recurring decimals into fractions?

-- Take one whole set of the digits that repeat in the decimal. Write them as the numerator of the fraction. -- For the denominator of the fraction, write a group of 9s ... t…hesame number of them as there are digits in the numerator. -- Simplify the fraction, if possible and if you feel like it.

# What is 0.47 recurring as a fraction?

Although it is a terminating fraction, it can be written as a recurring fraction as: 0.47000000... or 0.46999999...

# What is 0.4 recurring as a fraction?

Expressed as a proper fraction in its simplest form, 0.4 recurring (that is, 0.4444...) is equal to 4/9 or four ninths.

# What is 0.32 recurring into a fraction?

0.32... = 32 /99 in fraction

# What is 0.369 recurring as a fraction?

O.369 repeating as a fraction is 41/111

# What is 0.6 recurring as a fraction?

It is 2/3.

# What is 0.8 recurring as a fraction?

Expressed as a proper fraction in its simplest form, 0.8 recurring (that is, 0.8888...) is equal to 8/9 or eight ninths.

# Which denominators will produce recurring fractions?

The numbers that produce recurring numbers are: 3,6,7,9,11,12,13.. Hope this has helped you...

Answered

In Percentages, Fractions, and Decimal Values

# What is recurring decimal fraction?

It means that of the a digit or a group of digits, the figure to be repeated an infinite number of times at the end of a decimal fraction. For example, try dividing 100 by 3. …The answer is 33.333333333333. The number 3 after the decimal point can not bring the equation to a final conclusion and repeats 'for ever'

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In Math and Arithmetic

# What is 2.81 recurring as a fraction?

Suppose f = 2.811... then 10f = 28.111... so that 9f = 25.3 then f = 25.3/9 = 253/90 = 2 73 / 90

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In Math and Arithmetic

# How do you covert 3.6666.recurring into a fraction?

This is just a sick topic in general. There's a lot of ways to go about it, but for this little guy in particular, its easy. It gets harder with numerous digits repeating. …First, cut the 3 out and focus on the repeated 6s after the decimal. What fraction yields .6 repeating? 2/3 - Duh So to convert the Mixed Number 3 2/3 into an Improper Fraction multiply denominator by the discarded 3 in the one's place before the decimal [3*3] and then add the numerator [(3*3)+2=11]. Put the calculated number over the denominator and call it a day. 11/3 Hope this helps.

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In Math and Arithmetic

# What is 0.159 recurring as a fraction?

0.159999.... = 0.16 = 16/100 = 4/25

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In Math and Arithmetic

# What is 2.3 recurring as a fraction?

If it's the '3' that's recurring, then that number is 2-1/3 or 7/3.