How To Change A Decimal To Fraction

How to convert between fractions and decimals

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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.

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.

A diagram showing units and fraction number in navy blue boxes on top and a decimal number in light blue boxes underneath. On top: One (units) point one tenth (tenths) one hundredth (hundredths) one thousandth (thousandths). Underneath: Zero point zero one five. — Use identify value to convert decimals to fractions.

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Example 1: One (units) point one tenth (tenths) in navy blue boxes on top. Zero point eight in light blue boxes underneath. — Convert the decimal 0∙8 to a fraction.

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Numbers written as an equation: Zero point eight equals eight tenths equals four fifths – highlighted. — 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

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Example 2: One (units) point one tenth (tenths) one hundredth (hundredths) in navy blue boxes on top. Four point two three in light blue boxes underneath. — Convert the decimal 4∙23 to a fraction.

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Numbers written as an equation: Four point two three equals four-hundred and twenty-three hundredths equals four and twenty-three hundredths – highlighted. — 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.

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Example 3: A diagram showing units and fraction number in navy blue boxes on top and a decimal number in light blue boxes underneath. On top: One (units) point one tenth (tenths) one hundredth (hundredths) one thousandth (thousandths). Underneath: Zero point zero one five. — Catechumen the decimal 0∙015 to a fraction.

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Numbers written as an equation: Zero point zero one five equals fifteen thousandths – highlighted. — 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.

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Numbers written as an equation: Zero point zero one five equals fifteen thousandths equal twenty-three two-hundredths – highlighted. — 0∙015 is xv⁄yard and can be simplified to three⁄200

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

Write an equivalent fraction with a denominator that is a power of ten.
Use place value to catechumen this fraction to a decimal.

Example 1: Three fifths — 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.

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Fractional equations: Three over five multiplied by two equals highlighted empty box over ten. Three multiplied by two over five multiplied by two equals highlighted empty box over ten. Equals six tenths – highlighted. — 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

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Three fifths equal six tenths – highlighted. Underneath: one (units) point one tenth (tenths) in navy blue boxes on top. Zero point six zero zero in light blue boxes underneath. Below: Three fifths equal zero point six – highlighted. — 3⁄5 is equivalent to vi⁄10. 6⁄10 is 0∙6. 3⁄5 is 0∙6 as a decimal.

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Example 2: Thirteen twentieths. — Catechumen 13⁄20 to a decimal.

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Fractional equations: Thirteen over twenty divided by two equals highlighted empty box over ten. Thirteen over twenty-five multiplied by two equals highlighted empty box over hundred. — 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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Thirteen twentieths divided by two equals highlighted empty box over ten. Thirteen twentieths five multiplied by two equals highlighted empty box over hundred. Sixty-five hundredths. — 13 ÷ 2 is non a whole number. 13 multiplied by five is easier. 13 x 5 = 65. xiii⁄20 is equivalent to 65⁄100

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Thirteen twentieths equal sixty-five hundredths – highlighted. Underneath: one (units) point one tenth (tenths) in navy blue boxes on top. Zero point six five zero in light blue boxes underneath. Below: Thirteen twentieths equal zero point six five – highlighted. — 13⁄20 is equivalent to 65⁄100. 65⁄100 is 0∙65. 13⁄xx is 0∙65 as a decimal.

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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.

Three fifths equal three divided by five. One eighth equals one divided by eight. Four ninths equal four divided by nine. — 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

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Three fifths equal three divided by five. Three divided by five equals zero point six – highlighted. Three fifths equal zero point six – highlighted. — 3 divided past five is 0∙6 . iii⁄5 is 0∙half-dozen as a decimal.

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Example 2: One eighth equals one divided by eight. — Convert one⁄8 to a decimal. 1⁄8 means ane ÷ eight

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One eighth equals one divided by eight. One divided by eight equals zero point one two five – highlighted. One eighth equals zero point one two five – highlighted. — i ÷ 8 is 0∙125. one⁄8 is 0∙125 as a decimal.

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Example 3: Four ninths equal four divided by nine. — Catechumen four⁄nine to a decimal. 4⁄nine means 4 ÷ nine

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Four ninths equal four divided by nine. Four divided by nine equals zero point one four four four four – highlighted. Four ninths equal zero point one four four four four… – highlighted. Four ninths equal zero point one four recurring – highlighted. — 4⁄9 is 0∙444444444… This is a recurring decimal. This is shown with a dot above the recurring digit.

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

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

Posted by: garberherrinfold.blogspot.com

How To Change A Decimal To Fraction

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