All categories

3 years ago

What is 0.81818182 as a fraction

Mathematics

1 answer:

tia_tia [17]3 years ago

8 0

Answer: $\frac{9}{11}$ .

Step-by-step explanation: The given decimal is 0.81818182, which is recurring and non-terminating decimal form.

Let us consider that

$x=0.81818182\\\Rightarrow 100x=81.818182\\\Rightarrow100x=81+.81818182\\\Rightarrow100x=81+x\\\Rightarrow 100x-x=81\\\Rightarrow99x=81\\\Rightarrow x=\dfrac{81}{99}\\\Rightarrowx=\dfrac{9}{11}$ .

Thus, the fractional form of the decimal 0.81818182 is 9/11.

You might be interested in

The difference of the square of a number and 10 is equal to 3 times that number. Find the negative solution.

Harrizon [31]

Answer:

-2

Step-by-step explanation:

Let's call the number x. The statement tells us that

x^2 - 10 = 3x, or

x^2-3x-10 = 0

Factoring:

(x-5)(x+2) = 0. Here, we see that there are two solutions: x = 5 and x = -2. So, the negative solution is x = -2.

3 0

2 years ago

You have $8 and earn $1.25 for each health bar you sell. Write an equation in two variables that represent the total amount A (i

kherson [118]

The equation is
A= 8 + (1.25*b)

7 0

2 years ago

Joe goes on Monday and buys a pair of pants that were regulary $45.00 What does he pay for the pants?

bekas [8.4K]

Answer:

$45.00

Step-by-step explanation:

it's the same thing, there is no context, so it pushes for me to believe that the answer is the same

8 0

2 years ago

Allen wants to have a mean of 90 on his math quizzes. So far, he has scored 86, 94, 88, 95, and 89. What is the least score that

viva [34]

Answer:

Step-by-step explanation:

$\frac{86 + 94 + 88 + 95 + 89 + x}{6} = 90$

The mean would be the sum of all the math quiz grades divided by the number of quizzes taken.

Solve for x:

$86 + 94 + 88 + 95 + 89 + x = 540$

$452 + x = 540$

$x = 88$

Thus, Allen needs at least an 88 to obtain a mean of at least 90.

3 0

3 years ago

Find the value of m. (-3/4)-⁴×(-3/4)-¹¹ = (-3/4)^m

tatiyna

Answer:

m = - 15

Step-by-step explanation:

Using the rule of exponents

$a^{m}$ × $a^{n}$ = $a^{(m+n)}$ , then

$(-\frac{3}{4}) ^{-4}$ × $(-\frac{3}{4}) ^{-11}$ = $(-\frac{3}{4}) ^{m}$ , that is

$(-\frac{3}{4}) ^{(-4-11)}$ = $(-\frac{3}{4}) ^{m}$

$(-\frac{3}{4}) ^{-15}$ = $(-\frac{3}{4}) ^{m}$

Equating exponents gives

m = - 15

4 0

2 years ago