9 into a fraction

9 into a fraction DEFAULT

Percent to Fraction Calculator

How to Convert a Percent to a Fraction - Steps

  • Step 1: Write down the percent divided by 100;
  • Step 2: If the percent is not a whole number, then multiply both top and bottom by 10 until you get an interger at the numerator.
  • Step 3: Simplify (or reduce) the fraction if it is not in the simplest form.

Learn more reading the examples below or use our self-explaining calculator above

Convert 39 percent to a fraction

39% = 39/100 as a fraction

Step by Step Solution

To convert 39 percent to a fraction follow these steps:

Step 1: Write down the percent divided by 100 like this:

39% = 39/100

Step 2: Multiply both top and bottom by 10 for every number after the decimal point:

As 39 is an integer, we don't have numbers after the decimal point. So,

39/100 = 39/100.

(This fraction is alread reduced, We can't reduce it any further).

What is 125 percent as a fraction?

125% = 5/4 = 11/4 as a fraction

Step by Step Solution

To convert 125 percent to a fraction follow these steps:

Step 1: Write down the percent divided by 100 like this:

125% = 125/100

Step 2: Multiply both top and bottom by 10 for every number after the decimal point:

As 125 is an integer, we don't have numbers after the decimal point. So,

125/100 = 125/100.

Step 3: Simplify (or reduce) the fraction:

125/100 = 5/4 when reduced to the simplest form.

As the numerator is greater than the denominator, we have an IMPROPER fraction, so we can also express it as a MIXED NUMBER, thus 125/100 is also equal to 1 1/4 when expressed as a mixed number.

Equivalent fraction for 6.25 percent

6.25% = 1/16 as a fraction

Step by Step Solution

To convert 6.25 percent to a fraction follow these steps:

Step 1: Write down the percent divided by 100 like this:

6.25% = 6.25/100

Step 2: Multiply both top and bottom by 10 for every number after the decimal point:

As we have 2 numbers after the decimal point, we multiply both numerator and denominator by 100. So,

6.25/100 = (6.25 x 100)/(100 x 100) = 625/10000.

Step 3: Simplify (or reduce) the fraction:

625/10000 = 1/16 when reduced to the simplest form.

Percent to Fraction Calculator

Percent to Fraction Calculator

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Sample percent to fraction conversions

Disclaimer

While every effort is made to ensure the accuracy of the information provided on this website, neither this website nor its authors are responsible for any errors or omissions, or for the results obtained from the use of this information. All information in this site is provided “as is”, with no guarantee of completeness, accuracy, timeliness or of the results obtained from the use of this information.

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What is 100/9 as a mixed number?

Trying to find out how to convert 100/9 into a mixed number or fraction? Have I got the answer for you! In this guide, we'll walk you through the step-by-step process of converting an improper fraction, in this case 100/9, to a mixed number. Read on!

Want to quickly learn or show students how to convert 100/9 to a mixed number? Play this very quick and fun video now!

Before we begin, let's revisit some basic fraction terms so you understand exactly what we're dealing with here:

  • Numerator. This is the number above the fraction line. For 100/9, the numerator is 100.
  • Denominator. This is the number below the fraction line. For 100/9, the denominator is 9.
  • Improper fraction. This is a fraction where the numerator is greater than the denominator.
  • Mixed number. This is a way of expressing an improper fraction by simplifying it to whole units and a smaller overall fraction. It's an integer (whole number) and a proper fraction.

Now let's go through the steps needed to convert 100/9 to a mixed number.

Step 1: Find the whole number

We first want to find the whole number, and to do this we divide the numerator by the denominator. Since we are only interested in whole numbers, we ignore any numbers to the right of the decimal point.

100/9= 11.111111111111 = 11

Now that we have our whole number for the mixed fraction, we need to find our new numerator for the fraction part of the mixed number.

Step 2: Get the new numerator

To work this out we'll use the whole number we calculated in step one (11) and multiply it by the original denominator (9). The result of that multiplication is then subtracted from the original numerator:

100 - (9 x 11) = 1

Step 3: Our mixed fraction

We've now simplified 100/9 to a mixed number. To see it, we just need to put the whole number together with our new numerator and original denominator:

11 1/9

Step 4: Simplifying our fraction

In this case, our fraction (1/9) can be simplified down further. In order to do that, we need to calculate the GCF (greatest common factor) of those two numbers. You can use our handy GCF calculator to work this out yourself if you want to. We already did that, and the GCF of 1 and 9 is 1.

We can now divide both the new numerator and the denominator by 1 to simplify this fraction down to its lowest terms.

1/1 = 1

9/1 = 9

When we put that together, we can see that our complete answer is:

11 1/9

Hopefully this tutorial has helped you to understand how to convert any improper fraction you have into a mixed fraction, complete with a whole number and a proper fraction. You're free to use our calculator below to work out more, but do try and learn how to do it yourself. It's more fun than it seems, I promise!

Improper Fraction to Mixed Fraction Calculator

Sours: https://visualfractions.com/calculator/improper-to-mixed/what-is-100-9-as-a-mixed-number/
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Percent to Fraction Calculator

Calculator Use

This online calculator converts a percent to a fraction. If the percent value is greater than 100% it is converted into a mixed number fraction. Enter percents to convert them into fractions. The number you enter can also have decimal places as in 3.5% or 0.625%.

To convert a percent to a fraction you first convert the percent to a decimal then use the same procedure as converting a decimal to fraction.

How to Convert a Percent to Fraction

  1. Divide the percentage by 100 to get a decimal number.
  2. Use that number as the numerator (top) of a fraction. Put a 1 in the denominator (bottom) of the fraction.
  3. Convert the decimal to a whole number: Count how many places are to the right of the decimal. If you have x decimal places then multiply numerator and denominator by 10x.
  4. Reduce the fraction: Find the Greatest Common Factor (GCF) of the numerator and denominator and reduce the fraction by dividing both numerator and denominator by the GCF.
  5. Simplify the remaining fraction to a mixed number fraction if possible.

Example: Convert 35.5% to a fraction

1. Divide by 100

\( \dfrac{35.5}{100} = 0.355\)

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

\( \dfrac{0.355}{1} \)

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

\( \dfrac{0.355}{1}\times \dfrac{1000}{1000}= \dfrac{355}{1000} \)

4. Find the Greatest Common Factor (GCF) of 355 and 1000 and reduce the fraction, dividing both numerator and denominator by GCF = 5

\( \dfrac{355 \div 5}{1000 \div 5}= \dfrac{71}{200} \)

Therefore,

\( 35.5\% = \dfrac{71}{200} \)

Related Calculators

To convert a fraction to a percent see the Fraction to Percent Calculator.

 

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Fraction to Percent Conversion

What is 9/2 as a mixed number?

Trying to find out how to convert 9/2 into a mixed number or fraction? Have I got the answer for you! In this guide, we'll walk you through the step-by-step process of converting an improper fraction, in this case 9/2, to a mixed number. Read on!

Want to quickly learn or show students how to convert 9/2 to a mixed number? Play this very quick and fun video now!

Before we begin, let's revisit some basic fraction terms so you understand exactly what we're dealing with here:

  • Numerator. This is the number above the fraction line. For 9/2, the numerator is 9.
  • Denominator. This is the number below the fraction line. For 9/2, the denominator is 2.
  • Improper fraction. This is a fraction where the numerator is greater than the denominator.
  • Mixed number. This is a way of expressing an improper fraction by simplifying it to whole units and a smaller overall fraction. It's an integer (whole number) and a proper fraction.

Now let's go through the steps needed to convert 9/2 to a mixed number.

Step 1: Find the whole number

We first want to find the whole number, and to do this we divide the numerator by the denominator. Since we are only interested in whole numbers, we ignore any numbers to the right of the decimal point.

9/2= 4.5 = 4

Now that we have our whole number for the mixed fraction, we need to find our new numerator for the fraction part of the mixed number.

Step 2: Get the new numerator

To work this out we'll use the whole number we calculated in step one (4) and multiply it by the original denominator (2). The result of that multiplication is then subtracted from the original numerator:

9 - (2 x 4) = 1

Step 3: Our mixed fraction

We've now simplified 9/2 to a mixed number. To see it, we just need to put the whole number together with our new numerator and original denominator:

4 1/2

Step 4: Simplifying our fraction

In this case, our fraction (1/2) can be simplified down further. In order to do that, we need to calculate the GCF (greatest common factor) of those two numbers. You can use our handy GCF calculator to work this out yourself if you want to. We already did that, and the GCF of 1 and 2 is 1.

We can now divide both the new numerator and the denominator by 1 to simplify this fraction down to its lowest terms.

1/1 = 1

2/1 = 2

When we put that together, we can see that our complete answer is:

4 1/2

Hopefully this tutorial has helped you to understand how to convert any improper fraction you have into a mixed fraction, complete with a whole number and a proper fraction. You're free to use our calculator below to work out more, but do try and learn how to do it yourself. It's more fun than it seems, I promise!

Cite, Link, or Reference This Page

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  • <a href="https://visualfractions.com/calculator/improper-to-mixed/what-is-9-2-as-a-mixed-number/">What is 9/2 as a mixed number?</a>

  • "What is 9/2 as a mixed number?". VisualFractions.com. Accessed on October 13, 2021. https://visualfractions.com/calculator/improper-to-mixed/what-is-9-2-as-a-mixed-number/.

  • "What is 9/2 as a mixed number?". VisualFractions.com, https://visualfractions.com/calculator/improper-to-mixed/what-is-9-2-as-a-mixed-number/. Accessed 13 October, 2021.

  • What is 9/2 as a mixed number?. VisualFractions.com. Retrieved from https://visualfractions.com/calculator/improper-to-mixed/what-is-9-2-as-a-mixed-number/.

Improper Fraction to Mixed Fraction Calculator

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