Fraction Converter

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Enter the fraction you want to simplify. The Fraction Calculator will reduce a fraction to its simplest form. You can also add, subtract, multiply, and divide fractions, as well as, convert to a decimal and work with mixed numbers and reciprocals. We also offer step by step. Fraction Calc is a special calculator for multiplication, division, addition, and subtraction of two or more fractions and whole numbers. It can process multiple fractions and whole numbers at once. Then it displays the step by step solutions of whatever operation it has processed. Unicode Fraction Maker. Convert 'number / number' form text to ' number ⁄ number ' form text. The output is fully cut-n-pastable text. Current known superscript characters: -+= in. Superscripts are supplimented with Unicode 'modifier letters': AaBcDdEefGghHIJjKklLMmNOoPprRsTttUuVwWxyz. Current known subscript characters. Enter the positive decimal number you want to convert to a fraction here: (for negative decimal numbers the answer would be the same but negative, ex: -1.25 = -1 1/4).

Calculator Use

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

Entering Repeating Decimals

  • For a repeating decimal such as 0.66666.. where the 6 repeats forever, enter 0.6 and since the 6 is the only one trailing decimal place that repeats, enter 1 for decimal places to repeat. The answer is 2/3
  • For a repeating decimal such as 0.363636.. where the 36 repeats forever, enter 0.36 and since the 36 are the only two trailing decimal places that repeat, enter 2 for decimal places to repeat. The answer is 4/11
  • For a repeating decimal such as 1.8333.. where the 3 repeats forever, enter 1.83 and since the 3 is the only one trailing decimal place that repeats, enter 1 for decimal places to repeat. The answer is 1 5/6
  • For the repeating decimal 0.857142857142857142... where the 857142 repeats forever, enter 0.857142 and since the 857142 are the 6 trailing decimal places that repeat, enter 6 for decimal places to repeat. The answer is 6/7

How to Convert a Negative Decimal to a Fraction

  1. Remove the negative sign from the decimal number
  2. Perform the conversion on the positive value
  3. Apply the negative sign to the fraction answer

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

How to Convert a Decimal to a Fraction

  1. Step 1: Make a fraction with the decimal number as the numerator (top number) and a 1 as the denominator (bottom number).
  2. Step 2: Remove the decimal places by multiplication. First, count how many places are to the right of the decimal. Next, given that you have x decimal places, multiply numerator and denominator by 10x.
  3. Step 3: Reduce the fraction. Find the Greatest Common Factor (GCF) of the numerator and denominator and divide both numerator and denominator by the GCF.
  4. Step 4: Simplify the remaining fraction to a mixed number fraction if possible.

Example: Convert 2.625 to a fraction

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

( 2.625 = dfrac{2.625}{1} )

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

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

3. Find the Greatest Common Factor (GCF) of 2625 and 1000 and reduce the fraction, dividing both numerator and denominator by GCF = 125

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

Torrent application windows. 4. Simplify the improper fraction

Therefore,

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

Decimal to Fraction

  • For another example, convert 0.625 to a fraction.
  • Multiply 0.625/1 by 1000/1000 to get 625/1000.
  • Reducing we get 5/8.

Fraction Converter Table

Convert a Repeating Decimal to a Fraction

  1. Create an equation such that x equals the decimal number.
  2. Count the number of decimal places, y. Create a second equation multiplying both sides of the first equation by 10y.
  3. Subtract the second equation from the first equation.
  4. Solve for x
  5. Reduce the fraction.

Example: Convert repeating decimal 2.666 to a fraction

1. Create an equation such that x equals the decimal number
Equation 1:

2. Count the number of decimal 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
Equation 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 &= &2664cr} )

Fraction Converter To Percent

We get

4. Solve for x

( x = dfrac{2664}{999} )

5. Reduce the fraction. Find the Greatest Common Factor (GCF) of 2664 and 999 and reduce the fraction, dividing both numerator and denominator by GCF = 333

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

Fraction Converter Chart

Therefore,

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

Repeating Decimal to Fraction

  • 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 second equation by multiplying both 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
  • Answer: x = 0.333 = 1/3

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Microsoft word free download. To convert a fraction to a decimal see the Fraction to Decimal Calculator.

References

Fraction Converter To Whole Number

Wikipedia contributors. 'Repeating Decimal,' Wikipedia, The Free Encyclopedia. Last visited 18 July, 2016.