what is 333 written in the simplest fraction form

Decimal to Fraction Calculator

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This calculator converts a decimal number to a fraction or a decimal number to a intermingled number. For repetition decimals enter how many decimal fraction places in your decimal number repeat.

Entering Repeating Decimals

For a recurring decimal such as 0.66666... where the 6 repeats forever, enter 0.6 and since the 6 is the only one tracking decimal place that repeats, enter 1 for decimal places to echo. The answer is 2/3
For a repeating decimal such A 0.363636... where the 36 repeats forever, go into 0.36 and since the 36 are the only deuce trailing decimal fraction places that repeat, move in 2 for decimal places to repeat. The answer is 4/11
For a repeating decimal so much A 1.8333... where the 3 repeats forever, move into 1.83 and since the 3 is the only one tracking decimal place that repeats, come in 1 for decimal fraction places to repeat. The answer is 1 5/6
For the circulating decimal 0.857142857142857142..... where the 857142 repeats forever, enter 0.857142 and since the 857142 are the 6 tracking decimal places that repeat, infix 6 for decimal places to repeat. The answer is 6/7

How to Convert a Negative Decimal to a Fraction

Remove the bad sign from the decimal act
Perform the conversion on the positive value
Apply the negative communicative to the fraction answer

If a = b then it is true that -a = -b.

How to Commute a Decimal to a Fraction

Step 1: Work a fraction with the decimal numerate as the numerator (top turn) and a 1 as the denominator (bottom numeral).
Step 2: Remove the denary places by multiplication. First-class honours degree, count how many places are to the right of the quantitative. Next, precondition that you have x decimal places, procreate numerator and denominator by 10^x.
Step 3: Reduce the fraction. Determine the Greatest Usual Factor (GCF) of the numerator and denominator and divide both numerator and denominator by the GCF.
Step 4: Simplify the remaining divide to a mixed number fraction if possible.

Example: Convince 2.625 to a divide

1. Rewrite the decimal number number as a fraction (over 1)

\( 2.625 = \dfrac{2.625}{1} \)

2. Manifold numerator and denominator by away 10³ = 1000 to eliminate 3 decimal places

\( \dfrac{2.625}{1}\times \dfrac{1000}{1000}= \dfrac{2625}{1000} \)

3. Get the Greatest Common Element (GCF) of 2625 and 1000 and abridge the divide, nonbearing some numerator and denominator by GCF = 125

\( \dfrac{2625 \div 125}{1000 \div 125}= \dfrac{21}{8} \)

4. Simplify the unconventional fraction

\( = 2 \dfrac{5}{8} \)

Therefore,

\( 2.625 = 2 \dfrac{5}{8} \)

Decimal to Fraction

For another example, win over 0.625 to a fraction.
Breed 0.625/1 by 1000/1000 to puzzle over 625/1000.
Reducing we get 5/8.

Convert a Repeating Decimal to a Fraction

Create an equation much that x equals the decimal number.
Count the number of decimal places, y. Create a second equation multiplying both sides of the first equation by 10^y.
Subtract the second equation from the get-go equating.
Figure out for x
Reduce the divide.

Model: Convert recurring decimal 2.666 to a fraction

1. Create an equation so much that x equals the decimal number
Equality 1:

\( x = 2.\overline{666} \)

2. Count the total of denary places, y. There are 3 digits in the repeating decimal group, so y = 3. Ceate a second equation by multiplying both sides of the first equation by 10³ = 1000
Par 2:

\( 1000 x = 2666.\overline{666} \)

3. Subtract equation (1) from equation (2)

\( \eqalign{1000 x &= &\hfill2666.666...\Cr x &= &\hfill2.666...\cr \hline 999x &adenosine monophosphate;= &ere;2664\cr} \)

We get

\( 999 x = 2664 \)

4. Solve for x

\( x = \dfrac{2664}{999} \)

5. Trim down the fraction. Find out the Greatest Common divisor (GCF) of 2664 and 999 and reduce the fraction, dividing both numerator and denominator away GCF = 333

\( \dfrac{2664 \div 333}{999 \div 333}= \dfrac{8}{3} \)

Simplify the improper fraction

\( = 2 \dfrac{2}{3} \)

Hence,

\( 2.\overline{666} = 2 \dfrac{2}{3} \)

Circulating decimal to Divide

For another example, convert repeating decimal 0.333 to a fraction.
Create the first equation with x equal to the repeating decimal number:
x = 0.333
There are 3 repeating decimals. Create the arcsecond equation away multiplying some sides of (1) by 10³ = 1000:
1000X = 333.333 (2)
Subtract equation (1) from (2) to get 999x = 333 and solve for x
x = 333/999
Reducing the fraction we get x = 1/3
Reply: x = 0.333 = 1/3