**usmam.org: law math through fractionsHere"s exactly how to convert 2.666666 come a fraction...The decimal component of her number appears to have actually the repeating number 6 in it.Your initial number to convert is 2.666666. Let"s slide the decimal point in this number to the right 1 place(s) (the same number of digits in the number 6).If we carry out this, we"ll obtain a 26.666660 (slide the decimal in the 2.666666 right 1 places, you"ll gain 26.666660).So what? well now, we have actually two numbers with the same repeating decimal parts, 26.666660 and also 2.666666.Now let"s just work a small algebra into every one of this. Let"s call your initial number x. And in this case, x=2.666666. The number v the decimal point slid over have the right to be referred to as 10x, since 10x=26.666660What if we subtracted these two equations (that is, subtract the items on the left the the equal signfrom the ingredient on the best of the same sign)?10x = 26.6667- x = 2.66667-------------9x = 24.Now here"s the important an outcome of doing all of this: notice how every one of the repeating decimal parts have actually subtracted away to zero! We room left v a nice, straightforward 24 top top the ideal side of the equal sign.Now, resolving 9x=24**for

**x**by dividing both political parties of that by 9, we"ll obtain that

**x**=24/9. And also this is her answer.How is this her answer? fine remember that above,

**x**to be originally collection equal to 2.666666 via

**x**=2.666666, and also now we have actually that

**x**is also equal to 24/9, therefore that method 2.666666=24/9..and there"s 2.666666 written as a fraction!The fractionis one

**improper fraction**(the numerator is better than the denominator).

You are watching: 24 divided by 9 as a fraction

**While there is nothing incorrect about this, one improper portion is typicallysimplified more into a blended number**.

**The entirety number**part of the blended number is discovered by dividing the 24 through the 9.

**In this situation we obtain 2**.

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**The fractional part**of the mixed number is discovered by making use of the remainder that the division,

**which in this case is 6**(24 divided by 9 is 2 remainder 6).

**The fractionis not decreased to shortest terms**. We can reduce this fraction to lowest

**terms by dividing both the numerator and denominator by 3.Why division by 3? 3 is the Greatest usual Divisor (GCD)**

**or Greatest typical Factor (GCF)**of the numbers 6 and also 9.So, this fraction reduced to lowest terms isSo your last answer is: 2.666666 deserve to be written as the fraction