How do you express the repeating decimal 0.244 as a

Donald Johnson 2022-01-17 Answered
How do you express the repeating decimal 0.244 as a fraction?
You can still ask an expert for help

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

Solve your problem for the price of one coffee

  • Available 24/7
  • Math expert for every subject
  • Pay only if we can solve it
Ask Question

Expert Answer

Lakisha Archer
Answered 2022-01-18 Author has 39 answers
enlacamig
Answered 2022-01-19 Author has 30 answers
First, create an equation that represents the repeating decimal that you want to convert to a fraction
x=0.244244. (1)
There are 3 repeating decimals, multiply both sides of the equation by 103=1000 so that both equations have the same repeating digits to the right of the decimal point
1000x=244.244244 (2)
Subtract the equation (1) from equation (2)
1000x=244.244244
x=0.244244
999x=244
Solve for the x in the equation to determine the equivalent fraction.
x=244999
Therefore, 244/999 is simplified fraction of 0.244 repeating.
Not exactly what you’re looking for?
Ask My Question
alenahelenash
Answered 2022-01-24 Author has 343 answers
Hint: In this problem, we have to find the fraction for the given decimal. We can first assume x to the given decimal. We can then multiply the both to 10 and 100, we will get two equations. We can then subtract the both equations to get the value of x, that is the exact fraction of the given decimal number. Complete step by step answer: We know that the given decimal number to be converted into its fraction is 0.244, where 4 is repeated, so we can write as 0.2444…. We can assume the decimal number to x, we get x=0.2444... (1) Now we can multiply the number 10 on both sides were in right-hand side the decimal point moves one point to the right, we get 10x=2.444... (2) Now we can multiply 100 on both side of equation (1), we get 100x=24.444... (3) We can now subtract the equation (2) and (3), we get 90x=22.00 We can now divide the number 90 on both the sides, we get x=2290 Therefore, the fractional form of the decimal 0.87 (7 being repeated) is 2290.
Not exactly what you’re looking for?
Ask My Question

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

Relevant Questions

asked 2021-01-06
The product of 2 decimals is 20.062 one of the factors has 2 decimals .how many decimals in other factors.
asked 2021-05-11
Bethany needs to borrow $10,000. She can borrow the money at 5.5% simple interest for 4 yr or she can borrow at 5% with interest compounded continuously for 4 yr.
a) How much total interest would Bethany pay at 5.5% simple interest?
b) How much total interest would Bethany pay at 5 interest compounded continuously?
c) Which option results in less total interest?
asked 2020-12-01

According to a study by Dr. John McDougall of his live-in weight loss program at St. Helena Hospital, the people who follow his program lose between 6 and 15 pounds a month until they approach trim body weight. Let's suppose that the weight loss is uniformly distributed. We are interested in the weight loss of a randomly selected individual following the program for one month. Give the distribution of X. Enter an exact number as an integer, fraction, or decimal.f(x)= where X.μ=σ=. Find the probability that the individual lost more than 8 pounds in a month.Suppose it is known that the individual lost more than 9 pounds in a month. Find the probability that he lost less than 13 pounds in the month.

asked 2020-10-21
On average, 3 traffic accidents per month occur at a certain intersection. What is the probability that in any given month at this intersection
(a) exactly 5 accidents will occur?
(b) fewer than 3 accidents will occur?
(c) at least 2 accidents will occur?
asked 2021-08-06

Solving Inequalities Graphically: Use a graphing device to solve the inequality. Express your answer using interval notation, with the endpoints of the interval rounded to two decimals.
2x33x+1<0

asked 2020-10-18

Find the quadratic function that is best fit for f(x) defined by the table below

Xf(x)0024014159863595864071010,009

asked 2021-12-18
Simplify and turn the fraction 5/12 into a decimal, please.