How is 0.136¯¯written as a fraction in simplest form? (its a repeating decimal)

case a) the repeating decimal is 36

Let

Multiply x by a power of  , one that keeps the decimal part of the number the same:

Subtract from

The repeating decimals should cancel out

solve for x

Divide by both sides

Simplify

Divide by both numerator and denominator

therefore

the answer case a) is

The fraction in simplest form is

case b) the repeating decimal is 136

Let

Multiply x by a power of  , one that keeps the decimal part of the number the same:

Subtract from

The repeating decimals should cancel out

solve for x

Divide by both sides

-----> irreducible

therefore

the answer case b) is

The fraction in simplest form is

y=mx+

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.