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
bezimeni [28]
2 years ago
10

Write 0.216 as a rational number in lowest terms

Mathematics
1 answer:
lozanna [386]2 years ago
6 0

Answer:

=\frac{27}{125}

Step-by-step explanation:

0.216

\mathrm{Multiply\:and\:divide\:by\:10\:for\:every\:number\:after\:the\:decimal\:point.}

\mathrm{There\:are\:}3\mathrm{\:digits\:to\:the\:right\:of\:the\:decimal\:point,\:therefore\:multiply\:and\:divide\:by\:}1000

=\frac{0.216\cdot \:1000}{1000}

=\frac{216}{1000}

216,\:1000

\mathrm{The\:GCD\:of\:}a,\:b\mathrm{\:is\:the\:largest\:positive\:number\:that\:divides\:both\:}a\mathrm{\:and\:}b\mathrm{\:without\:a\:remainder}

2,\:3\mathrm{\:are\:all\:prime\:numbers,\:therefore\:no\:further\:factorization\:is\:possible}

=2\cdot \:2\cdot \:2\cdot \:3\cdot \:3\cdot \:3

2,\:5\mathrm{\:are\:all\:prime\:numbers,\:therefore\:no\:further\:factorization\:is\:possible}

=2\cdot \:2\cdot \:2\cdot \:5\cdot \:5\cdot \:5

\mathrm{The\:prime\:factors\:common\:to\:}216,\:1000\mathrm{\:are\:}

=2\cdot \:2\cdot \:2

\mathrm{Multiply\:the\:numbers:}\:2\cdot \:2\cdot \:2=8

=8

=\frac{8\cdot \:27}{8\cdot \:125}

\mathrm{Cancel\:the\:common\:factor:}\:8

=\frac{27}{125}

Hence, the correct answer is =\frac{27}{125}

You might be interested in
What is anothe way to write 5x754
I am Lyosha [343]
5(700)+(50)+(4)that’s how you write it
5 0
2 years ago
PLEASE HELP! I will give you the brainiest and A LOT of points! (Ch.5.7)
STALIN [3.7K]
Company A pays $5500 more than B in year 10

4 0
2 years ago
Arrange the slope values in order from least steep to most steep
polet [3.4K]

Answer:

0 => -⅘ => 1.5 => 3 => -4 => -\frac{11}{2} (-5.5)

Step-by-step explanation:

The greater the absolute value of a slope, the steeper the slope. By absolute value, we mean the non-negative value of tthe .

To arrange the slope values, from the least steep to the steepest, ignore the negative sign in any of the slope values.

Thus, in the order from the least steep to the steepest, we have:

0 => -⅘ => 1.5 => 3 => -4 => -\frac{11}{2} (-5.5)

The greater the absolute value of the slope, the greater the vertical movement. The greater the vertical movement, the steeper the slope.

A slope value of 0 connotes a horizontal line.

5 0
2 years ago
Evaluate -3- (-4) - (-2) + 1.
Shtirlitz [24]

Answer:

4

Step-by-step explanation:

-3+4+2+1=4

8 0
3 years ago
Tell which set or sets of numbers below belongs to: natural numbers, whole numbers, integers, rational numbers, irrational numbe
Misha Larkins [42]

1/3 belongs to the rational set and to the real set.

<h3>To which sets does the number below belong?</h3>

Here we have the number 1/3.

First, remember that we define rational numbers as these numbers that can be written as a quotient between two integers.

Here 1 is an integer and 3 is an integer, then 1/3 is a rational number.

Also, the combination between the rational set and the irrational set is the set of the real numbers, then 1/3 is also a real number.

Then, concluding:

1/3 belongs to the rational set and to the real set.

If you want to learn more about rational numbers:

brainly.com/question/12088221

#SPJ1

6 0
1 year ago
Other questions:
  • Find the area of the shaded regions. Give your answer as a completely simplified exact value in terms of π (no approximations).
    8·1 answer
  • What is 20(-1.5r + 0.75)​
    15·2 answers
  • A spinner is divided into 8 equal sections, and each section contains a number from 1 to 8. What is the probability of the spinn
    7·1 answer
  • When constructing an inscribed polygon with a compass and straightedge, how should you start the construction?
    7·2 answers
  • Lucy spends 4 hours a week babysitting. Her sister Lily spends seven eighths as much time babysitting. Does Lily babysit for mor
    5·1 answer
  • Adult hippos weigh up to 3300 pounds. If a young hippo weighs 250 pounds, how many pounds might he be expected to gain in his li
    8·1 answer
  • Given f(x) = 3x – 2, find f(-5).
    15·2 answers
  • Please help!<br> Evaluate the following expression.
    7·1 answer
  • Jennifer is checking Megan's homework. They disagree on the answer to this problem: 42 x 22 Jennifer says the product is 32 and
    14·1 answer
  • Help pls asap i be grateful
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!