How To Change A Decimal To Fraction

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How to convert between fractions and decimals

Leap to

Cardinal points

• In the decimal system are all . This helps when converting decimals to fractions.

• Understanding tin can exist useful when converting decimals and fractions. When a decimal converted to a fraction is non in its everyman terms it should exist simplified.

• To convert fractions to decimals, agreement place value , equivalent fractions equally well as division can be useful.

How to convert a decimal to a fraction

To convert a decimal to a fraction:

• It tin can be useful to think nearly place value. The final digit's place value gives the .

• Starting from the start non-nil digit, the digits of the decimal number gives the .

• The fraction may be simplified when the numerator and denominator take a common cistron greater than 1.

• Units are often referred to every bit ones. Eg, 4∙two has 4 units and 2 tenths, or y'all could say 4∙2 has 4 ones and two tenths.

Examples

Use identify value to convert decimals to fractions.

1 of viii

Convert the decimal 0∙8 to a fraction.

2 of 8

The concluding digit has a place value of tenths. The denominator is tenths. The numerator is eight. 0∙8 is 8⁄x equally a fraction. This tin exist simplified to iv⁄5

three of 8

Convert the decimal 4∙23 to a fraction.

4 of 8

The final digit has a hundredths place value. The denominator is 100. The numerator is 423. four∙23 is 423⁄100 as a fraction. This is also 4 23⁄100. four 23⁄100 is a mixed number and cannot be simplified.

5 of 8

Catechumen the decimal 0∙015 to a fraction.

vi of 8

The concluding digit has a thousandth place value. The denominator is one thousand. The numerator is 15. 0∙015 is 15⁄g equally a fraction.

seven of 8

0∙015 is xv⁄yard and can be simplified to three⁄200

viii of viii

Question

How to catechumen a fraction to a decimal using equivalent fractions

To convert a fraction to a decimal when the denominator is a factor or multiples of powers of x:

1. Write an equivalent fraction with a denominator that is a power of ten.

2. Use place value to catechumen this fraction to a decimal.

Examples

A fraction is one manner of writing a division. The numerator is divided by the denominator. Fractions can be converted into decimals by processing this division. Convert iii⁄5 to a decimal.

one of 7

5 is a factor of x. five x 2 = 10. Discover the equivalent fraction for 3⁄5 by multiplying the numerator and denominator by two. three⁄five is equivalent to 6⁄10

2 of 7

3⁄5 is equivalent to vi⁄10. 6⁄10 is 0∙6. 3⁄5 is 0∙6 as a decimal.

3 of 7

Catechumen 13⁄20 to a decimal.

four of vii

xx is a multiple of ten. 20 ÷ 2 is x. 20 is as well a factor of 100. 20 10 5 is 100. Find the equivalent fraction that is easiest to work out.

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13 ÷ 2 is non a whole number. 13 multiplied by five is easier. 13 x 5 = 65. xiii⁄20 is equivalent to 65⁄100

6 of 7

13⁄20 is equivalent to 65⁄100. 65⁄100 is 0∙65. 13⁄xx is 0∙65 as a decimal.

vii of 7

Question

How to convert a fraction to a decimal using sectionalisation

Fractions tin can be converted into decimals by partitioning. This method works for converting whatsoever fraction to a decimal:

• Divide the numerator by the denominator.

• Understanding short partition can be helpful when using this method.

Examples

A fraction is i fashion of writing a segmentation. The numerator is divided past the denominator. Fractions can be converted into decimals by processing this division. Convert iii⁄5 to a decimal. 3⁄5 means 3 ÷ 5

one of 6

3 divided past five is 0∙6 . iii⁄5 is 0∙half-dozen as a decimal.

2 of 6

Convert one⁄8 to a decimal. 1⁄8 means ane ÷ eight

3 of half dozen

i ÷ 8 is 0∙125. one⁄8 is 0∙125 as a decimal.

4 of half dozen

Catechumen four⁄nine to a decimal. 4⁄nine means 4 ÷ nine

v of 6

4⁄9 is 0∙444444444… This is a recurring decimal. This is shown with a dot above the recurring digit.

6 of six

Question

Practise converting fractions to decimals

Quiz

Practise converting fractions to decimals. You lot may desire to use a pen and paper to help you with your workings out.

Existent-globe maths

Converting fractions into decimals tin can aid when converting currencies.

To convert between currencies an exchange rate is used. An exchange rate compares 2 currencies.

For example if £10 is the same equally €9 then the fraction \( \frac{9}{10} \) is converted to the decimal 0∙9. This decimal can then be used to alter pounds sterling into euros (£ × 0∙9 = €) or euros to pounds (€ ÷ 0∙9 = £).

Converting fractions into decimals tin help when converting currencies.

Source: https://www.bbc.co.uk/bitesize/topics/zsxhfg8/articles/z4ymtv4

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