How you would convert the repeating, nonterminating decimal to a fraction? explain the process as you solve the problem, 0. i need answers in words and numbers, i need and explanation for each numerical step

Let x = 0.151515....      (1)

Notice the number of integers that are repeating. Here 1 and 5 are repeating.

So, multiply both sides of the above expression by 100. (If only one integer is repeating, you need to multiply by 10, if 3 integers repeating, you need to multiply by 1000 and so on.)

So, (1) becomes,

100x = 15.151515....     (2)

(2) - (1) gives,

99x = (15.151515.....) - (0.151515....)

       = 15

d

step-by-step explanation:

hello and welcome!

so, when we see the words "proportional" along with a table, we need to know that we're looking numbers that divide by the same thing.

looking at this table, we simply have to do a trial and error, and divide to see which numbers have the same quotient. if you look at choice a & c, they both have equal quotients for three of the numbers, with one exception, so those can't be the answer. looking at b, there is no similarity, so that can't be it. then, we see d; if you divide all the numbers in the table, you'll see that they all divide by two, which is a proportional relationship, and our answer!

also, always remember that the x will always be the number that goes into y, and somewhere behind this table, is a formula. for this specific table, the formula would be:

since our x-value is being divided by two to get the y-value. and if they were to ask for more numbers in the series, this is the formula you would use to find them.

step-by-step explanation:

we are given

since, we have to isolate x on anyone side

so, we can move all x terms on one side

subtract both sides by 2x

add both sides by 9

divide both sides by 4

we get