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
Lyrx [107]
3 years ago
13

Two fractions are given. For each one, write its decimal equivalent and determine if the decimal is terminating or non terminati

ng 9/20 and 4/15​
Mathematics
1 answer:
ziro4ka [17]3 years ago
6 0

Answer:

9/20 yes, 4/15 not. See below

Step-by-step explanation:

Pick 9/20 and multiply numerator and denominator by 5:

9/20 = 45/100

We know that if we divide a number by 100 we need to move the coma as two places left, so:

9/20 = 45/100 = 0.45

And this is a terminal decimal as we know where it ends.

On the other hand if we pick 4/15 let try to divide it (here I will do it 'manually'):

4 |_ 15

we can divide 4 by 15, so we use 40 and begin with a comma

40 |_ 15

      0.

15 enters 2 times in 40 with a rest of 10, so:

40 |_ 15

  30  0.2

  100

100 divided by 15 is 6 and we have 10 as rest again, and again and again...

40 |_ 15

  30  0.266.....

  100

    100

      ....

So, we will have 0.266666666666666 infinitely. The decimal for 4/15 is non terminating and is 0.26666666666666666...

You might be interested in
The graph of a line passes through the points (0,5) and (-10,0). What is the equation
pav-90 [236]

Answer:

Y=1/2x +5

Step-by-step explanation:

(0,5) (-10,0)

0-5/-10-0=1/2

(0,5) (x, y)

Y-5/x-10=1/2(crossmultiply)

2y-10=x

2y= x +10(divide all sides by 2)

Y=1/2x+5

7 0
3 years ago
2/5 - (-4/3) = what does it equal because im really confused
ira [324]

Answer:

26/15

Step-by-step explanation:

See attached image.

6 0
3 years ago
The rectangle shown has a perimeter of 156 cm and the given area. Its length is 6 more than five times its width.
Stells [14]
P=156 cm
l=6+5w
P=2(l+w)
156=2(6+5w+w)
156=2(6+6w)
156=12+12w
12+12w=156
12w=156-12
12w=144
w=12cm

l=6+5•12
l=6+60
l=66cm
8 0
2 years ago
If cos θ = .62 and if 0<θ<90 what is the approximate value of sin θ to the nearest hundredth
Deffense [45]
\cos\Theta=0.62\\\\\text{Use:}\ \sin^2\alpha+\cos^2\alpha=1\\\\\sin^2\Theta+(0.62)^2=1\\\\\sin^2\Theta+0.3844=1\ \ \ |-0.3844\\\\\sin^2\Theta=0.6156\to\sin\Theta=\pm\sqrt{0.6156}\\\\\sin\Theta_1\approx-0.78\ \vee\ \sin\Theta\approx0.78\\\\\Theta\in(0^o;\ 90^o),\ therefore\ \sin\Theta \ \textgreater \  0\to\boxed{\sin\Theta\approx0.78}
5 0
3 years ago
What is the area of `DeltaXYZ`? A. 10 square inches B. 14 square inches C. 17.5 square inches D. 28 square inches
xz_007 [3.2K]

Answer:

17.5

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
Other questions:
  • Which is not a pair of congruent angles in the diagram below?
    12·2 answers
  • What is the answer for this I need it asap
    13·2 answers
  • How many solutions does the equation –2a + 2a + 7 = 8 have?
    7·1 answer
  • -29/35 + 17/25 give your answer as a reduced fraction
    14·1 answer
  • How do i simplify 24 divided by (3+2 with the power of 2
    8·1 answer
  • Drag the number to match each rate to its equivalent ratio.
    11·1 answer
  • What is 7 1/7 as an improper fraction
    9·1 answer
  • How do you sort the polygons such as rectangle, square, parallelogram,, trapezoid, and quadrilateral? This question is asking th
    9·1 answer
  • La escalera de un carro de bomberos
    11·1 answer
  • What is the area, in square centimeters, of the figure below?
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!