t size=4>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 fraction
is one improper fraction (the numerator is better than the denominator).
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.
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 fraction
is not decreased to shortest terms. We can reduce this fraction to lowestterms 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 is
So your last answer is: 2.666666 deserve to be written as the fraction