Umsatz 9 0 2 Fraction

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  • Multiply Fractions Calculator. Step 1: Enter the fraction you want to simplify. The multiply fractions calculator will multiply fractions and reduce the fraction to its simplest form. Step 2: Click the blue arrow to submit.
  • Calculator for adding and subtracting fractions with like or unlike denominators. The fraction calculator can add or subtract 2 fractions, 3 fractions and up to 9 fractions at a time, and shows the work to find common denominators, and simplify fractions to lowest terms or mixed number answers.
  • For example the number 2.5333. Is broken into the sum 2.5+0.0333, 2.5 becomes 5/2 and 0.0333 becomes 33/990 or,simplified, 1/30. The result of the conversion is therefore (5/2)+(1/30)=38/15. All fractions are reduced as soon as possible to simplify the subsequent operations. When the number cannot be converted.

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} )

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.

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:

Umsatz 9 0 2 Fraction Table

( 1000 x = 2666.overline{666} )

Umsatz 9 0 2 Fractions

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

( eqalign{1000 x &= &hfill2666.666...cr x &= &hfill2.666...cr hline 999x &= &2664cr} )

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} )

Therefore,

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

Repeating Decimal to Fraction

Umsatz 9 0 2 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

Umsatz 9 0 2 Fraction Table

Related Calculators

To convert a fraction to a decimal see the Fraction to Decimal Calculator.

References

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





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