Convert 0.47 recurring into a fraction in its simplest form

Answers

Answer 1

Answer:

47/99

Step-by-step explanation:

      100x = 47.4747...

(-)          x = 0.4747...

------------------------------

       99x = 47

x = 47/99

Answer: 47/99

Answer 2

The fraction that represent the decimal 0.47 is 47/99.

Given decimal: 0.47

To convert the decimal number 0.47 recurring into a fraction, set up an equation to represent the repeating part.

Let the repeating decimal x as

0.47x = x

Now, shift the decimal point to the right to align with the repeating part:

100x = 47.47x

Now, subtract the left side from both sides:

100x - x = 47.47x - 0.47x

99x = 47

Multiply both sides by 100:

99x * 100 = 47 * 100

9900x = 4700

Divide both sides by 9900 to isolate x:

x = 4700 / 9900

In this case, both 4700 and 9900 are divisible by 100:

4700 / 100 = 47

9900 / 100 = 99

So, the simplified fraction is:

x = 47 / 99

Therefore, 0.47 recurring is equal to 47/99 in its simplest form.

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Related Questions

It takes 45 min for Faucet A to fill a tank, and it takes Faucet B 63 min. How many minutes will it take the two faucets to fill the tank together?

Answers

Answer:

the total minutes taken together is 26.25 minutes

Step-by-step explanation:

The computation of the number of minutes that required to fill the tank together is shown below:

[tex]\frac{1}{45} + \frac{1}{63} = \frac{1}{x}\\\\\frac{7 + 5 }{315} = \frac{1}{x} \\\\\frac{12}{315} = \frac{1}{x} \\\\12x = 315\\x = 26.25[/tex]minutes

Hence, the total minutes taken together is 26.25 minutes

a grocery store sign indicates that apples are on sale for 10 apples for $2.00. how many apples can you buy with $7.00.

Answers

You can buy 30 apples because 2 goes into 7 3 times. Since at a store you can’t split a pack of apple (ie. you can’t break open a box of soda cans and buy just one) you can only get what $6 will buy you. That would mean getting 10 apples multiplied by 3 (how many times $2 can go into $7) and you would get 30 apples. Hope that helped!

three raised to the square of a number, x, is equal to nine raised to the power two times the same number x decreased by one.


please help! i will mark brainliest

Answers

Answer:

Step-by-step explanation:

[tex]3^x^2=9^{2x-1}\\3^x^2=(3^2)^{2x-1}\\x^2=4x-2\\x^2-4x+2=0\\X^2-4X+4=-2+4\\(X-2)^2=2\\|x-2|=\pm \sqrt{2} \\x=2+\sqrt{2},2-\sqrt{2}[/tex]

What is the base in the expression 4 superscript 5?
4
5
9
20

Answers

Answer:

Step-by-step explanation:

4⁵

4 is the base.

Answer:

[tex]\huge\colorbox{pink}{An§wer}[/tex]

4⁵

4 is the base

Hope it helps ( ꈍᴗꈍ)

What is the area of the triangle?
8
10
6
units
2

IF U GET THE ANSWER THABK YOU AO MUCH

Answers

Answer:

24

Step-by-step explanation:

multiply base x height

guysssss plzzz help ​

Answers

Answer:

x=32

Step-by-step explanation:

(2x+60)+(3x-40)=180

5x+20=180

5x=160

x=32

which of the following equation describes all points on a horizontal line that passes through the point (-3, 7)
1. y=7
2. y=-3x+7
3.x=-3
4.y=7x-3

Answers

Answer:

A.) y=7 hope this helps you

Which number has an absolute value less than 5 ? A . —6 , B. — 5 , C. 0 , D. 5

Answers

most likely its c i think

The answer to the problem 5 x (4 + 1) is called a _____.
A) Sum
C) Product
B) Difference
D) Quotient

Answers

Answer:

C) product

Step-by-step explanation:

5x(4+1)=

20x+5x= 25x

Consider a parallelogram in which one side is 3 inches long, another side measures 4 inches, and the measurement of one angle is 45°. How many parallelograms can you construct given these conditions? What are the lengths of the sides and the measurements of the angles for the parallelogram(s)?

Complete the steps below to solve the problem.

Part A
Using a ruler and protractor, draw a parallelogram that satisfies the given conditions. (If you don’t have these tools available, draw it freehand.) How many different parallelograms can you draw based on the given conditions?

Answers

Answer:

Only one parallelogram can be drawn based on the given conditions.

Step-by-step explanation: just believe me

Please help if it is answered in 5 minutes i will give brainliest

Answers

Firstly you do 9/5 which equal 1.8 and times by 1 so the answer is 1.8

You are given two side lengths of 5 feet and one side length of 10 feet. How many triangles can be constructed using these measurements?

Question 4 options:

one


two


many


none

Answers

None I;njbhjbhufghvhjgufyvgyvhvgufgyfgyknjhfjhdjhvdhbfbdhjbfdjbcdbh

What is the slope of the line through (-9,6) and (-3, 9)?

Answers

Answer:

1/2 think it is bc -9,6 and -3,9 are 1/2

what is a number that is greater than 1 and is a factor of 12 and 27​

Answers

Answer:

3

Step-by-step explanation:

factors of 12: 1, 2, 3, 4, 6 and 12

factors of 27: 1, 3, 9, and 27

hope it helps :)

5. Each pair of polygons below are similar. Show your work! Solve for x:

Answers

Since they are similar, you need to find the ratio of similarity (I made up the term, there is probably a correct one that I can’t remember).

If you divide 16/40, you’ll find that that ratio is 2.5. So then you just multiply 16 x 2.5. You’ll get 18.

18 is the length of the top of the trapezoid.

You set 18=2x+4 and solve it algebraically. Subtract 4 from both sides.

14=2x
Divide by 2 and x=7

(You can also check that the ratio is right by 16/18 is the same decimal value as 40/45. You’ll get .88888...)

Choose the two expressions that are equivalent to 6.5 - 1.3.
CLEAR
CHECK
-
-
1
1
1
1
1
1
1
1
65 - 13
65 : 130
650 - 130
650 - 13

Answers

65/13
650/130







explanation





hope this helped

Answer:

65  ÷ 13  #1 650  ÷  130#2 65  ÷  130 #3

Step-by-step explanation:

Using the commutative property, how can 147+ (78 +52) be rewritten?
O (147 x 78) + (147 x 52)
O (78 +52) + 147
O (147+78) + 52
O 147 + 130

Answers

Answer:

(147+78) + 52

Step-by-step explanation:

Hope this Helps!

The function f is given by the table of values as shown below.

x 1 2 3 4 5
f(x) 9 11 15 23 39
Use the given table to complete the statements.

The parent function of the function represented in the table is
.

If function f was translated up 5 units, the
-values would be
.

A point in the table for the transformed function would be
.

Answers

The parent function for this function represented in the table is an exponential function.

We have given that,

The function f is given by the table of values as shown below.

x     1   2    3    4     5

f(x)  9  11     15  23  39

What is an exponential function?

An exponential function can be defined as a mathematical function whose values are generated by a constant that is raised to the power of the argument. Mathematically, an exponential function is represented by this formula

f(x) =

11 - 9 = 2 = 2¹

15 - 11 = 4 =

23 - 15 = 8 =

39 - 23 = 16 = 2⁴

Therefore, we can deduce that the parent function for this function represented in the table is an exponential function.

If function f was translated up to 5 units, then f(x) values would be increased by 5. Also, a point in the table for the transformed function is equal to (1, 4).

To learn more about the exponential function:

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Identify the hypothesis and conclusion of the conditional below.
If an animal is a poodle, then it is a dog.

Answers

Answer:

the hypothesis is that the animal is a poodle. the conclusion is that since poodles are of the canine family, it would be a dog.

Three consecutive even integers that add up to -6. What are these integers?

Answers

Answer:

-1, -2, -3 Are all consecutive

Step-by-step explanation:

-1 + -2 + -3 = -6

Answer:

0,-2,-4

Step-by-step explanation:

The increased demand for vegetarian meals has caused an increase in the price of tofu. If the current cost of $2.99 per pound is increasing 6% per year, what will it cost in 5 years?

Answers

Answer:

R90,70

Step-by-step explanation:

[tex]2.99 \times \frac{6}{100} \times 5 = [/tex]

Answer:

y=4, or $4

Step-by-step explanation:

a=initial amount

b=growth

+6%=growth

100+6=106

106/6=1.06

equation: y=2.99(1.06)^x

2.99(1.06)^5

around 4

3x3–6x2 I am still struggling to find the answer for this problem

Answers

Answer:

-3

Step-by-step explanation:

3x3–6x2. [B.O.D.M.A.S rule] (First multiplication)

= 9 - 12. (Then subtraction)

= -3 (Ans)

Answer:

-3

Step-by-step explanation:

first multiply 3by 3 =9

then 6×2=12

9-12=-3

What is 273x 346 I need help like asp

Answers

Answer:

94458

Step-by-step explanation:

273 x 346 =94458

Answer:

just use a calculator

Step-by-step explanation:

94458

that is the answer

Last week, the price of oranges at the farmer's market was $1.75 per pound.
This week, the price has decreased by `20\%`. What is the price of oranges this week?

You don't really have to explain if you don't want to .

Answers

Answer:

1.4

Step-by-step explanation:

What is 15:3 in it's simplest form?

Answers

Answer:

5 : 1

Step-by-step explanation:

15:3

Divide each side by 3

15/3:3/3

5 : 1

Fifth grade students are going on a field trip to the movies. The same movie is playing in multiple theaters. If 95 students can fit in each theater and 485 students are there, how many theaters will the students need to use so everyone gets to see the movie?

Answers

Answer:

You need 6 theaters

Step-by-step explanation:

Mark brainliest please

Answer:

6 theaters

Step-by-step explanation:

485÷95= 5.105= 6

Please mark branliest. :)

What type of number is -2i?

Answers

Answer:

It is an imaginary number.

Step-by-step explanation:

In this example, the real number is -2 is being multiplied by the imaginary unit, i, which i can be also expressed as (√-1).

A dog eats 150g of dog food twice a day. How many
kg of dog food does the dog eat in a fortnight?​

Answers

Answer:

1200g in fortnight

Step-by-step explanation:

Sana makatulong

The dog eats 4.3 kilograms of dog food in a fortnight.

What is multiplication?

Multiplication is a mathematical arithmetic operation. It is also a process of adding the same types of expression for some number of times.

Example - 2 × 3 means 2 is added three times, or 3 is added 2 times.

Given:

A dog eats 150g of dog food twice a day.

A fortnight is “a period of two weeks,” that is, “fourteen days and nights.”

That means,

the dog eat in a fortnight,

= 150 x 14 x 2

= 4200 grams.

In kilograms,

the dog eats 4.3 kilograms of dog food.

Therefore, the dog eats 4.3 kilograms of dog food.

To learn more about the multiplication;

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does anyone know what 3+10 is?

Answers

Answer:

it's 13 lol

Step-by-step explanation:

please I need someone to help my assignment​

Answers

Answer:

Step-by-step explanation:

The altitude of ΔYES is the geometric mean between 'n' and 'm'

Proportion → [tex]\frac{m}{a}=\frac{a}{n}[/tex]

The shorter leg 'a' is the geometric mean between 'h' and 'm'

Proportion → [tex]\frac{h}{a}=\frac{a}{m}[/tex]

The longer leg 'b' is the geometric mean between 'h' and 'n'

Proportion → [tex]\frac{h}{b}=\frac{b}{n}[/tex]

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