How do you convert 3.16 (6 repeating) to a fraction?

Mathematics

1 answer:

lutik1710 [3]3 years ago

5 0

Suppose $x=3.1\overline6$ . Then $10x=31.\overline6$ , and $100x=316.\overline6$ .

Now,

$100x-10x=316.\overline6-31.\overline6=316-31$

$\implies90x=285$

$\implies x=\dfrac{285}{90}=\boxed{\dfrac{19}6}$

You might be interested in

Which is an example of the associative property?

Advocard [28]

The first thing we are going to do to solve the problem is to define what associative property is:
Associative property Property that is fulfilled if, given any three elements of a given set, it is verified that there is an operation that verifies equality
An expression that meets the definition is:
(x + 3) + 7 = x + (3 + 7)
We observe that both members of equality are identical, but written in different ways.
Answer:
B) (x + 3) + 7 = x + (3 + 7)

5 0

3 years ago

last month kim trained 3 times as many dogs as cats. if the total number of cats and dogs she trained last monty is 28, how many

Oksanka [162]

7 because 7x3= 21 and 21 + the 7 cats comes to an equal 28

4 0

3 years ago

Y=5x+2 <br> 4x-y=0<br> is (2,12) a solution of the system?

Svetach [21]

Answer:

The point (2,12) is not a solution of the system

see the explanation