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4 years ago

Convert the repeating decimal below into a fraction.0.234

Mathematics

2 answers:

Anuta_ua [19.1K]4 years ago

6 0

Answer:

the answer is 117/500 hop this helps:)

Step-by-step explanation:

PSYCHO15rus [73]4 years ago

3 0

0.234 = 117 / 500

as a fraction

To convert the decimal 0.234 to a fraction, just follow these steps:

Step 1: Write down the number as a fraction of one:

0.234 = 0.234/1

Step 2: Multiply both top and bottom by 10 for every number after the decimal point:

As we have 3 numbers after the decimal point, we multiply both numerator and denominator by 1000. So,

0.234/1

= (0.234 × 1000)

(1 × 1000)

= 234

1000

Step 3: Simplify (or reduce) the above fraction by dividing both numerator and denominator by the GCD (Greatest Common Divisor) between them. In this case, GCD(234,1000) = 2. So,

(234÷2)

(1000÷2)

= 117/500

when reduced to the simplest form.

Hope it helped u if yes mark me BRAINLIEST!

Tysm!

I would appreciate it!

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3 years ago

Read 2 more answers

The length of a 200 square foot rectangular vegetable garden is 4feet less than twice the width. Find the length and width of th

inna [77]

Answer:

Length = 18.099 ft

Width = 11.049 ft

Step-by-step explanation:

let the length of the field be x ft

and the width be y ft

as per the condition given in problem

x=2y-4 -----------(A)

Also the area is given as 200 sqft

Hence

xy=200

Hence from A we get

y(2y-4)=200

taking 2 as GCF out

2y(y-2)=200

Dividing both sides by 2 we get

$y(y-2)=100$

$y^2-2y=100$

subtracting 100 from both sides

$y^2-2y-100=0$

Now we solve the above equation with the help of Quadratic formula which is given in the image attached with this for any equation in form

$ax^2+bx+c=0$

Here in our case

a=1

b=-1

c=-100

Putting those values in the formula and solving them for y

$y=\frac{-(-2)+\sqrt{(-2)^2-4 \times (-1) \times 100}}{2 \time 1}$

$y=\frac{-(-2)-\sqrt{(-2)^2-4 \times (-1) \times 100}}{2 \time 1}$

Solving first

$y=\frac{2+\sqrt{4+400}{2}$

$y=\frac{2+\sqrt{404}{2}$

$y=\frac{2+20.099}{2}$

$y=\frac{22.099}{2}$

$y=11.049$

Solving second one

$y=\frac{-(-2)-\sqrt{(-2)^2-4 \times (-1) \times 100}}{2 \time 1}$

$y=\frac{2-\sqrt{4+400}{2}$

$y=\frac{2-\sqrt{404}{2}$

$y=\frac{2-20.099}{2}$

$y=\frac{-18.99}{2}$

$y=-9.045$

Which is wrong as the width can not be in negative

Our width of the field is

y=11.099

Hence the length will be

x=2y-4

x=2(11.049)-4

x=22.099-4

x=18.099

Hence our length x and width y :

Length = 18.099 ft

Width = 11.049 ft

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3 years ago

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3 years ago

A plane has 360 total seats which are divided into economy class and business class for every 13 seats in economy class there ar

Marta_Voda [28]

Answer:

There are 260 seats in economy class and 100 seats in business class

Step-by-step explanation:

To solve this problem we first have to calculate the fraction of economic and business seats with respect to the total

We are told that every 13 seats in economy class there are 5 seats in business class

13 + 5 = 18

This means that if there are 18 seats 13 will be economic and 5 business

economic seats = 13/18

business seats = 5/18

To find out the number of seats in the airplane of each class, we have to multiply the total number of seats by these fractions

economic seats = 360 * 13/18

economic seats = 260

business seats = 360 * 5/18

business seats = 100

8 0

3 years ago

Convert the repeating decimal below into a fraction.0.234​

Convert the repeating decimal below into a fraction.0.234