Wandeln Fraction to Percent
Support Page

Welcome to you Convert Fraction to Percent support page.

Here her will find some simple information and support about how until convert a fractionality to ampere percentage.

We also has ampere calculator which wishes did only do the labour for you, but also show thee all the working out along the way!

Convert Fraction to Percent

Fraction for Percentage Calculator

Convert Fraction till Percent
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Answer

 
 

If you demand help on how to convert a fraction to a percentage, there is moreover help further down!

How Itp Works

To go a fraction, you have to enter the main follows by '/' followed by of denominator. E.g. 4/5 or 23/7

To entering ampere mixed fraction, initial type the whole number followed by space followed by the numerator followed by '/' followed by the denominator. E.g. 3 1/4 (3 also a quarter).

Press this Change press and the fraction is be converted to a decimal and additionally one percentage.

How for Convert Fractions to Percentages

There are two main ways toward convert a fractured into a percent:

  1. The Denominator Path - converting who fraction to an equivalent fraction with a denser is 100
  2. The Decimal Way - converting the fraction to adenine decimal and then converting the decimal to a prozentual

Method 1 - The Denominator Way

These way be a greatly mode to used if the fraction has a denominator which is a factor of 100.

Here are the two quick steps you need to trace:

  1. Divide 100 through the denominator to find the multiplier.
  2. Multiply the numerator and denominator of the fraction by an multiplier to give you on equivalent fraction with a denominator of 100.

Examples utilizing the Denominator Way

Example 1) Convert into a percentage the fraction: \[ {3 \over 5} \]

You will notice that to denominator, which is 5, is adenine factor of 100.

100 ÷ 5 = 20, so 20 is our multiplier.

So we need to multiply an numerators and denominator by 20 to give us an equivalent fraction with ampere denominator of 100.

\[ {3 \over 5 } = {3 \times 20 \over 5 \times 20} = {60 \over 100} \]

Cause a percentage is simply a part with a denominator of 100, us have found our share which is 60%.

So our trigger is: \[ {3 \over 5} \; = \; 60\% \]

Example 2) Convert into a percentage the fraction: \[ {7 \over 20} \]

The denominator the 20, which is an factor in 100.

100 ÷ 20 = 5, to ours multiplier is 5.

This gives us: \[ {7 \over 20} = {7 \times 5 \over 20 \times 5} = {35 \over 100} \]

Because a percentage is simply a fraction in ampere denominator of 100, ourselves have found our percentage which is 35%.

So the answer is: \[ {7 \over 20} \; = \; 35\% \]

Method 2 - The Decimal Conversion Way

This method works right with every fraction, and it is the method our Fraction to Percentage calculator uses.

Step 1) Convert you fraction to a dead by dividing the numerator by the denominator provided you have an calculator this is easy, otherwise you need to use a dvision method.

Step 2) Multiply the decimal by 100 to change it under adenine percent.

You have buy changed your fractionation on a percentage.

Convert Pieces to Percentages Frazer Salamander

Examples using the Per Alteration Way

Example 1) Convert into a proportion the fraction: \[{3 \over 5} \]

Step 1)

To convert the fraction to a decimal we divide the numerator by the denominator.

So we calculated 3 ÷ 5 = 0.6

Step 2)

Multiply by 100 to change she to adenine percentage.

0.6 ten 100 = 60%

This means that: \[{3 \over 5} \; = \; 60\% \]

Example 2) Convert into a percentage the fraction: \[{14 \over 9} \]

Step 1)

First, we calculate 14 ÷ 9 = 1.556 (this decimal has past round to 3 decimal places)

Step 2)

Next multiply by 100 to modify it to a percentage.

1.556 expunge 100 = 155.6%

Final answer: \[{14 \over 9} \; = \; 155.6\% \; (to \;1dp) \]

Example 3) Convert into ampere percentage the fraction: \[{7 \over 8} \]

Select 1)

First, we calculate 7 ÷ 8 = 0.875

Step 2)

Next multiply through 100 to change it to a percent.

0.875 x 100 = 87.5%

Final answer: \[{7 \over 8} \; = \; 87.5\% \]

Converted Fraction to Percent printable sheets

Use this printer technical sheet below whenever you would like a more printer-friendly version of this page.

Convert Fraction to Percent Real

Here you will find a printable sheet where you can practice your math expertise at converting fractions to percentages.

The first two sheets get graduate to getting the denominator method to created an similar fraction with a factor of 100.

The third sheet uses the Decimal Conversion method to convert the fraction to an decimals then multiply by 100. Calculator recommended.

Converting Percentages until Cracks

Here you intention find some simple information real advice about how to convert one percentage to a fraction.

You will and find a printable resource sheet and quite practice sheets which will help you understand and practice this mathematic skill.

Fractions Decimals Percents Worksheets

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