Convert the decimal to a fraction in simplest form:
0.333

O 533/1000

1
O 333 —
10

1
O 3 —
333


O 333/1000

Answers

Answer 1

Answer:

Decimal 0.333 to a fraction in simplest form is:   [tex]\frac{333}{1000}[/tex]

Step-by-step explanation:

Given the decimal

[tex]0.333[/tex]

Multiply and divide by 10 for every number after the decimal point.

There are three digits to the right of the decimal point, therefore multiply and divide by 1000.

Thus,

[tex]0.333=\frac{0.333\cdot \:\:1000}{1000}[/tex]

         [tex]=\frac{333}{1000}[/tex]         ∵ 0.333×1000 = 333

Let us check if we can reduce the fraction [tex]\frac{333}{1000}[/tex]

For this, we need to find a common factor of 333 and 1000 in order to cancel it out.

But, first, we need to find the Greatest Common Divisor (GCD) of 333, 1000

Greatest Common Divisor (GCD) :

The GCD of a, b is the largest positive number that divides both a and b without a remainder.

Prime Factorization of 333:      3 · 3 · 37

Prime Factorization of 1000:      2 · 2 · 2 · 5 · 5 · 5

As there is no common factor for 333 and 1000, therefore, the GCD is 1.

Important Tip:

As GCD is 1, therefore the fraction can not be simplified.

Therefore, decimal 0.333 to a fraction in simplest form is:   [tex]\frac{333}{1000}[/tex]


Related Questions

.6(5 + 4) = 30 +____=_____​

Answers

30+24=54...............

Answer:

30 + 24 = 54

Step-by-step explanation:

2xy^2(23x2y3)
simplify

Answers

Answer:

if the question is 2xy²(23x²y³) then the answer is 46x³y^5

Step-by-step explanation:

Molly is getting balloons for her father's birthday party. She wants each balloon string to be 9 feet long. At the party store, string is sold by the yard. If Molly wants to get 67 balloons, how many yards of string will she need?

Answers

U should do 9 divided by 67 and then u should get your answer

If the sum of the measures of ∠H and ∠J is 76∘ , what is the measure of ∠I ?

Answers

Answer:  HKJ = 100

Step-by-step explanation

In this problem we need to use the property of a inscribed angle:

The inscribed angle is a point in the circle that has endpoints also in the circle. The value of the inscribed angle is half the value of the arc formed by the endpoints.

So, If the arc FJ is 84°, we have that the angle in point G isi 84/2 = 42°

|-14| + z = 12
solve for z

Answers

Answer:

14 + (-2) = 12

Hope it helps! :D

Answer:

26

Step-by-step explanation:

If you need help with math problems you can use an app called "Bartleby".

I hope this helps :)

The answer, and work shown.

Answers

Slope= 1/2
Y intercept= (0,2)

Explanation:
Slope-intercept form is y=mx+b
-2x+4y=8
-8-2x=-4y
Divide by -4
2+1/2x=y

Y=1/2x+2

I WILL GIVE BRAINLIEST !!!
P
O
W 3
23
5
-2
-4
---
Reflect triangle POW across the X-AXIS and give the new coordinates of the vertices
(Do not for get to label each point as the image, meaning P., O. and W)*
(1 Point)

Answers

The new coordinates should be P= (-7, -8) O= (5, -7) and W= (-2,-4). Graph those points and you have your reflected triangle! I hope this helps!!

i didn't listen when my teacher was showing us this as a review so i don't remember how to do it can someone give answer and explain if possible

Answers

Correct Answer is x= -4/3
the formula is:
y=mx+b

so the answer would be m=3

The area of a rectangle is 90 square inches. Find the length and width so that the rectangle has the least perimeter. Assume that the length and width are both whole numbers​

Answers

Note: given x and y have the same product the smallest sum of x and y are if they are closer together
Thus finding the factors of 90: 1, 2,3,5,6,9,10,15,18,30,45,90. So the closest are 9 and 10
There fore 19+19=38


4. In a banquet hall 19 chairs take up 76
a. How many square feet of space does 1 chair cover?

Answers

Answer:

4

Step-by-step explanation:

Cause u do the mad

Hello can someone help solve this ?

Answers

Answer:

(-5, -2)

Step-by-step explanation:

Note that on the interval (-5, -2), the line segment representing the graph is pointed downward:  y decreases as x increases.

FREE BRAINLIEST IF YOU ANSWER CORRECTLY!! (50pts)

Answers

Answer:

it is 10

Step-by-step explanation:

Answer:

ya its 10

Step-by-step explanation:

Autumn charges a flat fee of $8 plus $10 an hour babysitting. Write an equation that represents the cost, y, after x hours of babysitting

Answers

y= 10x+8
she charges 8 dollars before & then an extra 10 dollars for each hour. as it says x represents the hours & y represents the total cost.

–9 = –3(w − 5) help please!

Answers

Answer:

w = 8

Step-by-step explanation:

–9 = –3(w − 5)

-3(w - 5) = -9

w - 5 = 3

w = 5 + 3

w = 8

Answer:

hello! have a good day

w = 8

PLS HELP ME!!!!!!!!!!! Satish's register shows a deposit on February 4 in the amount of $150.00, an atm withdrawal on February 5 in the amount of $180, and another deposit on February 7 in the amount of $225.56. What should Satish's balance in his register be? A. $610.82, B.$792.91, C.$910.82, or D.$947.14

Answers

Answer:

Balance = $195.56

Step-by-step explanation:

Credit:

Feb 4 deposit = $150.00

Feb 7 deposit = $225.56

Total credit = $375.56

Debit:

Feb 5 ATM withdrawal = $180

Total Debit = $180

Balance = credit - debit

= $375.56 - $180

= $195.56

Balance = $195.56

The answer is not included in the option. It is either the options are not correct or the values in the question are not correct. Please recheck

Satish's balance in his register would be $195.56

Equation

Equation is an expression used to show the relationship between two or more numbers and variables.

Credit:

Feb 4 deposit = $150.00

Feb 7 deposit = $225.56

Total credit = $150 + $225.56 = $375.56

Debit:

Feb 5 withdrawal = $180

Total Debit = $180

Balance = $375.56 - $180 = $195.56

Satish's balance in his register would be $195.56

Find out more on equation at: https://brainly.com/question/2972832

6.
A zucchini plant in Darnell’s garden was 13 centimeters tall when it was first planted. Since then, it has grown approximately 0.6 centimeter per day.
a. Write a rule to describe the function.
b. After how many days will the zucchini plant be 0.208 meter tall?



A. h(d) = d/0.6 + 13, 5 days


B. h(d) = 0.6d + 13; 13 days


C. h(d) = 13d + 0.6; 1.6 days


D. h(d) = 0.6d; 35 days

Answers

Answer:

B. h(d) = 0.6d + 13; 13 days

Step-by-step explanation:

A zucchini plant in Darnell’s garden was 13 centimeters tall when it was first planted. Since then, it has grown approximately 0.6 centimeter per day. a. Write a rule to describe the function. b. After how many days will the zucchini plant be 0.208 meter tall?

Answer: h(d) = 0.6d + 13; 13 days

PLS HELP I WILL GUVE POINT

Answers

Answer:

D

Step-by-step explanation:

-3*7=-21k+2

Answer:

what thye said loll

Step-by-step explanation:

Choose the two expressions that are equivalent to 5. 75 ÷ 1. 15
A: 575 ÷115
B: 5,750 ÷ 1,150
C: 5,750 ÷ 115
D: 575 ÷ 1,150​

Answers

Answer:

A and B, but I’m gonna explain it the best I can too.

Step-by-step explanation:

5.75 divided by 1.15 is the same as answer A, since all you are doing is taking away the periods, making it whole numbers.

Again 5.75 divided by 1.15 is the same as B as well, Since it is the same just without the periods and an added zero at the end of each.

This Is so that they are both all equivalent by being whole numbers, but whatever you do to one numbers in the expression that you think is the answer you have to do to the other numbers in the expression

they have to add up completely the same.



Liz ran 4/5
km on Monday and 5/6 km on Tuesday. Select the true statement about the distance Liz ran.
Choose 1 answer
A:
Both fractions are almost 1 whole.
B:
One fraction is about 1/2 and the other is less than 1/2

Select the best estimate for the combined distance Liz ran Monday and Tuesday.
Choose 1 answer:
1/2 km
1 km
2 km

Answers

Part a. is A


part b. the fraction combined is 49/30 which is 1 19/30 so 2km im goin with

Guys please help ahhhhhh math homework isnt the best haha

Answers

I'm not sure if this is exactly right because the wording of the problem is confusing.

Answer:

a) Number of square feet of wallpaper for bedroom = 12x^2 - 21

b) Number of square feet of wallpaper for living room = 14x^2 - 42

c) Total amount of wallpaper needed = 26x^2 - 63

d) 107 more sq ft of wallpaper will be needed for the living room than bedroom.

Step-by-step explanation:

a) First find the area of each wall.

Length: 3x, Width: 3x, Height: x

(3x × x) + (3x × x) + (3x × x) + (3x × x) = 3x^2 + 3x^2 + 3x^2 + 3x^2 = 12x^2

12x^2 represents the amount of wallpaper needed, including the door. Find the area of the door and subtract it from this value.

3 × 7 = 21

12x^2 - 21 = Total sq ft of wallpaper needed for bedroom

b) First find the area of each wall.

Length: 4x, Width: 3x, Height: x

(4x × x) + (4x × x) + (3x × x) + (3x × x) = 4x^2 + 4x^2 + 3x^2 + 3x^2 = 14x^2

14x^2 represents the amount of wallpaper needed, including the door. Find the area of both doors and subtract it from this value.

3 × 7 = 21 × 2 = 42

42x^2 - 42 = Total sq ft of wallpaper needed for living room

c) Add the two expressions to find the total amount of wallpaper needed.

(12x^2 - 21) + (42x^2 - 42) = 26x^2 - 63

26x^2 - 63 = Total sq ft of wallpaper needed for both rooms

d) Plug x = 8 into the equations found in part a and b.

12(8)^2 - 21 = 747

14(8)^2 - 42 = 854

Subtract these answers to find the difference in amount.

854 - 747 = 107

The living room needs 107 sq ft more of wallpaper than the bedroom

Determine whether each equation is true or false.
True
False
32 = 2 x 2 x 2
53 = 15
81 = 71

If answer i will make brainliest

Answers

Answer:

1=false 2= false and 3= false

Step-by-step explanation:

In ΔEFG, e = 2.6 cm, f = 7.2 cm and g=8.3 cm. Find the measure of ∠F to the nearest degree.
{}Urgen{} Delta Math

Answers

Answer:

57°  

Step-by-step explanation:

Use the law of cosines:

cos F = (e² + g² - f²)/2egcos F = (2.6² + 8.3²- 7.2²)/2(2.6)(8.3)          = 0.5516∠F = arccos 0.5516∠F = 57° (rounded to the nearest degree)

Answer:

57

Step-by-step explanation:

cos F = (e² + g² - f²)/2eg

cos F = (2.6² + 8.3²- 7.2²)/2(2.6)(8.3)

        = 0.5516

∠F = arccos 0.5516

∠F = 57° (rounded to the nearest degree)

what is the volume of Triangular Prism
8cm
8.9cm
15cm
8cm​

Answers

Answer:

8544

Step-by-step explanation:

I multiplied them all 8 x 8.9 x 15 x 8 = 8544

What is 9 - 3 divided by 1/3 + 1

(Marking brainlest also doing random problems)

Answers

Answer:

the answer is 1 if i read this right

Step-by-step explanation:

Answer:

The answer is 1

Step-by-step explanation:

First Multiply and Divide (left to right)

3 divide by 1/3

Convert the element into a fraction:

=3/1 divided by 1/3

Apply the fraction rule:

=3/1 * 3/1

Apply rule a/1:

=3*3

Multiply the numbers: 3*3=9

=9

=9-9+1

Add and subtract (left to right):

9-9+1

9-9=0

=0+1

0+1=1

=1

PLZ help i'll give brainliest.

Answers

Answer:

3375

Step-by-step explanation:

15 ⋅ 15 ⋅ 15

Multiply  15  by  15 .

225 ⋅ 15

Multiply  225  by  15 .

Answer:

Volume=(length)^3

V= (15×15×15)mm^3 = 3375mm^3

What is an altitude of a triangle

Answers

Answer:

An altitude of a triangle is a segment from a vertex of the triangle, perpendicular to the side opposite that vertex of the triangle.

Step-by-step explanation:

The Altitude(s) of a Triangle. An altitude of a triangle is a segment from a vertex of the triangle, perpendicular to the side opposite that vertex of the triangle

4 times as much as the sum of 1/5 and 2/3 as an expression

Answers

Answer:

3.467

Step-by-step explanation:

1\5+2\3=13\15

13\15*4=3.467

Answer:

3.467

Step-by-step explanation:

2nd Question.... Will mark brainiest

Answers

Answer:

c

Step-by-step explanation:

40x3.14=125.6

Answer:

C

Step-by-step explanation:

so you use your diameter 40 and multiply it by it by 3.14 to get your circumfrence

solve the simultaneous equations

Answers

I hope it helps you ❤️❤️❤️

Periodt said he would be ok with

Find the length of LM to the nearest tenth of a foot

Answers

Answer:

18.7

Step-by-step explanation:

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