1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
scZoUnD [109]
3 years ago
11

Change the decimal to a fraction. Reduce the fraction if possible.

Mathematics
2 answers:
Bess [88]3 years ago
6 0
0.578=289/500, 3.5= 3 1/2, 2.73= 2 73/100, 0.4211= 4211/10000. Hope this helps :)
LekaFEV [45]3 years ago
6 0

<u>Answer:</u>

<u>For a:</u> The fraction obtained is \frac{289}{50}

<u>For b:</u> The fraction obtained is \frac{7}{2}

<u>For c:</u> The fraction obtained is \frac{273}{100}

<u>For d:</u> The fraction obtained is \frac{4211}{1000}

<u>Step-by-step explanation:</u>

Decimal numbers are not considered as integers. They are rounded off to write an integer.

Fraction is present in the form of \frac{p}{q} where q\neq 0

To remove decimal, we divide the number by 10^n where, n = number of decimal places

For the given options:

  • <u>Option a:</u>  0.578

Converting this into fractional form, we get:

\Rightarrow 0.578=\frac{578}{100}=\frac{289}{50}

The fraction obtained is \frac{289}{50}

  • <u>Option b:</u>  3.5

Converting this into fractional form, we get:

\Rightarrow 3.5=\frac{3.5}{10}=\frac{7}{2}

The fraction obtained is \frac{7}{2}

  • <u>Option c:</u>  2.73

Converting this into fractional form, we get:

\Rightarrow 2.73=\frac{273}{100}

The fraction obtained is \frac{273}{100}

  • <u>Option d:</u>  0.4211

Converting this into fractional form, we get:

\Rightarrow 0.4211=\frac{4211}{1000}=\frac{289}{50}

The fraction obtained is \frac{4211}{1000}

You might be interested in
What is V125 in simplest form?
kvv77 [185]

Answer:

5\sqrt{5}

Step-by-step explanation:

Using the rule of radicals

\sqrt{a} × \sqrt{b} ⇔ \sqrt{ab} , then

\sqrt{125}

= \sqrt{25(5)}

= \sqrt{25} × \sqrt{5}

= 5\sqrt{5}

6 0
3 years ago
A woman wishes to rent a house within 9 miles of her work. If she lives x miles from her work, her transportation cost will be c
I am Lyosha [343]

Answer:

the woman has to live 1 mile from work to minimize the expenses

Step-by-step explanation:

Given the data in the question;

the distance within 9 miles ⇒ 0 < x > 9

Total costs Q = cx + 4c/( x + 1)

costs should be minimum  ⇒ dQ/dx = 0

⇒ d/dx [ cx + 4c/( x + 1) ] = 0

⇒ ( x + 1)² = 4

take square root of both side

√[ ( x + 1)² ] = √4

x + 1 = 2

x = 2 - 1

x = 1

Therefore, the woman has to live 1 mile from work to minimize the expenses

5 0
3 years ago
An unknown number w is 30 more than an unknown number p. The number w is also p less than 5
AleksandrR [38]
The problem statement gives rise to two equations.
  w = 30 + p . . . . . w is 30 more than p
  w = 5 - p . . . . . .. w is p less than 5

Add these two equations to get
  2w = 35
  w = 35/2 = 17.5
  p = 5 - w = -12.5

The unknown number w is 17.5.
The unknown number p is -12.5.
7 0
3 years ago
What is the answer of this 5-x=7-2x
shtirl [24]

Answer:

x = 2

Step-by-step explanation:

5 - x  = 7 - 2x

-x + 2x = 7 - 5

x = 2

6 0
3 years ago
Read 2 more answers
Use the properties of operations to determine if each pair of expressions is equivalent
SIZIF [17.4K]

Using the properties of operations the given pair of expressions are not equivalent

<u>Solution:</u>

Given that, we have to use the properties of operations to determine if each pair of expressions is equivalent

<em><u>And the two expressions are:</u></em>

\frac{1}{2}(4-2 x) \text { and } 2-2 x

Now, we know that, there are four (4) basic properties of operations:

<em>Commutative, Associative, Distributive and Identity. These properties only apply to the operations of addition and multiplication.</em>

So, if we observe we can apply distributive property on 1st expression

The distributive property of multiplication states that when a number is multiplied by the sum of two numbers, the first number can be distributed to both of those numbers and multiplied by each of them separately, then adding the two products together for the same result as multiplying the first number by the sum.

\begin{array}{l}{\frac{1}{2}(4-2 x) \rightarrow \frac{1}{2}(4)-\frac{1}{2}(2 x)} \\\\ {\rightarrow 2-x}\end{array}

Here the resulting expression is 2 – x and it is not equivalent to 2 – 2x

Hence, the given two expressions are not equal.

3 0
3 years ago
Other questions:
  • 362,031,100 km as standard form
    8·1 answer
  • Find two numbers whose sum is 49. If the greater is 4 more than 8 times the smaller. Solve
    9·2 answers
  • If f(x) = 22 + 1, what is f(x) when x = 3?<br> O 1<br> O 7<br> 13<br> O 19
    11·1 answer
  • John cut a paper square with a perimeter of 18 inches into two rectangles. The perimeter of one of the rectangles is 10 inches.
    12·2 answers
  • What is the magnitude of -2a - 3b when a=3i+9j and b=4i-6j?
    9·1 answer
  • Answer this question thanks
    11·1 answer
  • What is an equation of the line that passes through the points (3,−4) and (3,8)
    7·1 answer
  • Solve for x: 3(x + 1) = −2(x − 1) + 6. (1 point) Select one: a. 1 b. 4 c. 5 d. 25
    7·2 answers
  • WILL GIVE BRAINLIEST... make me laugh
    13·2 answers
  • Use ELIMINATION:<br> 2x - 6y = -54<br> X + 6y = 63
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!