What is 1.83 repeating as a fraction?

Answers

Answer 1

Answer: The answer to this question would be: 1 5/6

To change a decimal number into fraction, you need to divide the number on the right of decimal point with 1. In this case, the number is 0.83.
This number is hard since .83 doesn't have many factors. To find the answer you can try to multiply the decimal with some number until it close to 1(no decimal left)
0.83* 2= 1.66
0.83* 3= 2.49 ---> close to half, if you find this number, you can try to double it
0.83* 4= 3.32
0.83* 5= 4.15
0.83* 6= 4.98---> close to 1, that means there is high probability that the number can be divided by 6
0.83 would be 4.98/6, but if we assume that the number is 0.8333...... then 0.83 would be 5/6. So, 1.83 would be 1 5/6

Answer 2

Answer:

1.83838383... = 182/99

1.83333333... = 11/6

1.83183183... = 610/333

Further explanation

Firstly , let us learn about types of sequence in mathematics.

Arithmetic Progression is a sequence of numbers in which each of adjacent numbers have a constant difference.

$T_n = a + (n-1)d$

$S_n = (1)/(2)n ( 2a + (n-1)d )$

Tn = n-th term of the sequence

Sn = sum of the first n numbers of the sequence

a = the initial term of the sequence

d = common difference between adjacent numbers

Geometric Progression is a sequence of numbers in which each of adjacent numbers have a constant ration.

$T_n = a ~ r^(n-1)$

$S_n = (a( 1 - r^n ) )/(1 - r)$

Tn = n-th term of the sequence

Sn = sum of the first n numbers of the sequence

a = the initial term of the sequence

r = common ratio between adjacent numbers

Let us now tackle the problem!

Since the question is not clearly stated, then let me assume the problem is to convert 1.83838383... as a fraction.

Let :

X = 1.8383838383... = 1.83

100X = 183.83838383... = 183.83

100X - X = 183.83 - 1.83

99X = 182

X = 182 ÷ 99

$\large {\boxed {X = (182)/(99) } }$

If the problem is to convert 1.833333... as a fraction , then :

Let :

X = 1.833333... = 1.83

10X = 18.33333... = 18.3

100X = 183.3333... = 183.3

100X - 10X = 183.3 - 18.3

90X = 165

X = 165 ÷ 90

$\large {\boxed {X = (11)/(6) } }$

If the problem is to convert 1.83183183183... as a fraction , then :

Let :

X = 1.83183183183... = 1.83183

100X = 183.183183... = 183.183

100000X = 183183.183... = 183183.183

100000X - 100X = 183183.183 - 183.183

99900X = 183000

X = 183000 ÷ 99900

$\large {\boxed {X = (610)/(333) } }$

Learn more

Geometric Series : brainly.com/question/4520950
Arithmetic Progression : brainly.com/question/2966265
Geometric Sequence : brainly.com/question/2166405

Answer details

Grade: Middle School

Subject: Mathematics

Chapter: Arithmetic and Geometric Series

Keywords: Arithmetic , Geometric , Series , Sequence , Difference , Term

Related Questions

Mrs.Martinez asked her students to write an expression representing the sum of a number, n, and 16. Which expression is written correctly?
How many times does 16 go into 125?
The volume of a cube is 27 cubic inches. What is thelength of one edge of the cube?Type your answer below (do not include units). If youranswer is a decimal, round it to the nearestthousandth.PLEASE ANSWER ASAP! NEED FOR RIGHT NOW
Can somebody help me writing a number sentence that tells what does the model represent
What are the x- and y- intercepts of the linear equation -5x + 3y = -15

What is a solid figure without any bases and with only one curved surface

Answers

the answer is cir le or sphere

for example it would be ellipsoid or sphere

Liam worked 5 hours 30minutes on Monday and 4 hours 45 minutes on Wednesday.How many total hours did Liam work on Monday and Wednesday?!?

Answers

5 hours + 4 hours = 9 hours
30 minutes + 45 minutes =75 minutes
60 minutes in an hour, so 75 minutes =1 hour and 15 minutes, or 1.25 hours
9 hours + 1.25 hours =10.25 hours or 10 hours and 15 minutes.

9 hours and 15 minutes. 5+4=9, 45+30= 75, 75-60= 15

A DJ has a total of 1075 dance, rock, and country songs on her system. The dance selection is three times the size of the rock selection. The country selection has 105 more songs than the rock selection. How many songs on the system are dance? Rock? Country? Please help! This has to do with substituting linear equations.

Answers

$D+R+C=1075\nD=3R\nC=R+105\n\n(3R)+R+(R+105)=1075\n5R=970\nR=194\n\nD=3(194)=\nD=582\n\nC=(196)+105=\nC=301$

582 dance songs.
194 rock songs.
301 country songs.

Answersub to me melodwybae

Step-by-step explanation:

The stem-and-leaf plot shows the number of home runs Carlos hit in the last five seasons. What is the mean absolute deviation of these values? Carlos home runs

Answers

To find mean, add the numbers then divide by how many numbers there are.

Isiah determined that 5a2 is the GCF of the polynomiala3 – 25a2b5 – 35b4. Is he correct? Explain.

Answers

ok, easy way is that we divide each term by the GCF and if it doesn't divide evenly, then it is not valid

first one
5a^2 divide by a^3
we see that we cannot since the power is higher and there is no 5 so it is not the GCF

If you are asked to compare two numbers, what two operations might you use? Why?

Answers

Subtraction: get how many units a number exceeds the other
Division: lets you know how much a number is larger (or smaller) than the other.

Other Questions

Owen simplified the expression r-8 s-5.r−8s−5 = 1r8 ⋅ s5 = s5r8

Plz help with this question ASAP which choice is it and steps to get the answer or explain why

Help PleAsE??What is the point-slope form of the equation of a line that passes through the point (6, −8) and has a slope of −2?A.y+8=2(x-6)B.y+8=-2(x-6)C.y-6=-2(x-8)D.y-8=-2(x+6)

Store A sells a 4-pack of AA size batteries for 3.79. Store B sells a 6 pack of AA batteries for 4.19.Which store has a better price per battery