4/5 x (-2/9) (as a fraction) (simplified)

Answers

Answer 1

Answer:

[tex]-\frac{8}{45}[/tex]

Step-by-step explanation:

So when multiplying fractions, you would multiply the numerator of the first fraction by the numerator of the second fraction and make that product the numerator of the resulting fraction and multiply the denominator of the first fraction by the denominator of the second fraction and make that product the denominator of the resulting fraction. In other words:

[tex]\frac{a}{b}*\frac{c}{d}=\frac{a*c}{b*d}[/tex]

So lets multiply the two fraction together:

[tex]\frac{4}{5}*(-\frac{2}{9})==-(\frac{4*2}{5*9})=-\frac{8}{45}[/tex]

So now we found the product. Now we have to try to try to simplify the fraction. To do this, we must find the GCF of the numerator, 8, and the denominator, 45.

Factors of 8: 1, 2, 4, 8

Factors of 45, 1, 3, 5, 9, 15, 45

As we can see, the GCF of 8 and 45 are 1. The fraction is simplified as much as possible.

I hope you find my answer and explanation to be helpful. Happy studying. :)


Related Questions

Harvey is 3 times as old as Jane. The sum of their ages is 52 years. Find the age of each. Jane is 13 and Harvey is 39 Jane is 12 and Harvey is 48 Jane is 13 and Harvey is 48

Answers

Answer:

13, 39

Step-by-step explanation:

H +J =52

H=3J

3J +J=52

4J=52

J=52 :4 =13 (Jane is 13

H =3 ×13 =39 (Harvey is 36

A cable company charges a monthly fee for cable service plus an additional $3 for each premium channel. This is given by the function y = 3x + 28.5. George has cable service with 4 premium channels. Write the domain and range using set notation. What is the cost of George’s monthly cable service?

Answers

Answer:

domain all real numbers

range all real numbers

the cost of his monthly cable is $40.50 when you plug in 4

-1.5 + k= 8.2 please and thank you

Answers

Answer:

9.7

Step-by-step explanation:

PLZ HELP ASAP WILL GIVE BRAINLIEST

Answers

Answer:

22 ft.

Step-by-step explanation:

First we can get the total change in elevation, which should be the final elevation minus the initial elevation:

(98ft)-(10ft)=88ft

Then, to get the change in 4 equal intervals, we can divide the total change in elevation by 4.

(88/4)ft=22ft

So during each of the four intervals, assuming they were four equal intervals, the diver descends 22ft.

uhm pls help me rn i need help

Answers

Answer:

hey i would help you but i cant because my school computer blocked the image

Step-by-step explanation:

if you could tell me text wise i might be able to help you out :)

the product of x and 4 is 64​

Answers

Answer:

16

Step-by-step explanation:

X = 16

Solve the equation. Show your work / explain your steps. x - 5 + 3x = -21

Answers

Answer:

X = -4

Step-by-step explanation:

See image for explanation

Answer:

x=4

Step-by-step explanation:

x - 5 + 3x = -21

add 3x and x and add 5 to both sides of the equation

4x = -16

then divide both sides by 4

x = 4

ya answer is x = 4

What does 4 tens and 10 ones represent?

Answers

Answer:

50

Step-by-step explanation:

Step 1:

40 + 10

Answer:

50

Hope This Helps :)

How to write 100100 in words ​

Answers

One hundred thousand and one hundred dollars.

Which is a y-intercept of the continuous function in the table? (0, –6) (–2, 0) (–6, 0) (0, –2)

Answers

Answer:

(0, - 6)

Step-by-step explanation:

The y- intercept is where the function crosses the y- axis.

This occurs when x = 0 , thus

From the table when x = 0, f(x) = - 6

The y- intercept is therefore (0, - 6 )

Answer:

(0, - 6)

Step-by-step explanation:

Find the midpoint of the line segment joining the points (-1,-2) and (-3,13)

Answers

The answer is (-2,5.5)

Step-by-step explanation:

Hope this helps

Distance between (5,0) and (2,-2)

Answers

Answer: d(distance) = [tex]\sqrt13\\[/tex]

Hope this help!

How does temperature affect phase changes?

Answers

Answer. Temperature affects phase change by slowing down the movement in between the atoms, thus causing a change in kinetic energy, which in turn causes the atoms to undergo forms of combining or a type of disepersion.

JK = 7x + 9
JL = 114, and
KL = 9x + 9,
Find KL.

Answers

Answer:

KL= 63

Step-by-step explanation:

JK=7x+9 , JL=114 , KL=9x+9 ( if the points are on the same line and point J at the end point and K in the middle)

*J_______________________K___________________________L

JL=JK+KL

114=7x+9+9x+9

114-18=16 x

16x=98

x=98/16=6

KL= 9x+9

KL=9(6)+9

KL= 63

Sophie drove 162 miles in 3 hours. How fast did she drive in hours per mile

Answers

Answer:

54 Miles Per Hour

Step-by-step explanation:

162/3

54 mile per hour
You can divide 162 by 3 making it 54

Choosing a car that coasts _____ instead of a car that costs _____ means that you’ll have more money available for other purchase. A. $12,000; $11,000 B. $9000; $7000 C. 10,000; $14,000 D. 18,000; $12,000

Answers

Answer:

C. : Choosing a car that costs 10,000 instead of a car that costs 14,000 means that you'll have more money available for other purchases

Step-by-step explanation:

X/5=15 Question 7 options: 20 3 75 10

Answers

Answer:

x = 75

Step-by-step explanation:

X/5=15

Multiply each side by 5

x/5 * 5 = 15*5

x = 75

Answer:

Step-by-step explanation:

15*5=75

therefore answer is x=75

x+5y-10=2x solve for y

Answers

Answer:

x + 5y -10 = 2x

or, 5y = 2x - x + 10

or, 5y = x + 10

or, y = (x + 10)/5

Can someone plz help ☹️☹️☹️

Answers

Answer:

35

Step-by-step explanation:

x=3x-70

because corresponding angles are congruent

Solve the equation to find x.

you save $150 per month for 2 years. what is the total amount you have saved?

Answers

The answer is 300 because 2 times 15 is 30 than you just add the zero

Answer:

$300

Step-by-step explanation:

i think you multiply 150 by 2 to get 300

What is the mean of 25, 27, 32, 29, 42? ​

Answers

Step-by-step explanation:

To find the mean, or average, you add all of the numbers and divide the sum by how many there are.

In this case, you add 25,27,32,29, and 42 and then divide the sum by 5.

25+27=52+32=84+29=113+42=155.

Then divide.

155/5=31.

hope it helps!

The midpoint of BC is M(6, 5). One endpoint is B(4, 3). Find the coordinates of the other endpoint C.

Answers

Answer:

Step-by-step explanation:

(4 + x)/2 = 6

4 + x = 12

x = 8

(3 + y)/2 = 5

3 + y = 10

y = 7

(8,7) for the endpoint C

PLEASE HELP


show all work

Answers

Answer:

[tex]8i^{22}[/tex] - 1

Explanation:

It's actually quite easy to tell which simplifies to a real number without working out the problem.

[tex]i^{2}[/tex] = -1

Any imaginary number with an even exponent is simplified to a real number. If it has an odd exponent, it cannot be simplified to a real number.

Some tips for fully solving the expression:

If the exponent is divisible by 4, then don't change the sign of the coefficient. You're just multiplying it by 1 because [tex]i^{4}[/tex] = [tex](i^{2})^{2}[/tex] = [tex](-1)^{2}[/tex] = 1

If the exponent is divisible by 2, change the sign of the coefficient because you're multiplying it by -1.

if y varies directly with x, and y = -20 and x = 5, what is x when y = -30

Answers

Answer:

7.5

Step-by-step explanation:

The value of x = 7.5 when y = -30

What is the equation?

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

Given that y varies directly with x, and y = -20 and x = 5,

To determine the value of x = 7.5 when y = -30

Direct variation equations can be written as:

y = kx where "k" is a constant.

Substitute the values of y = -20 and x = 5 in the direct variation equation and solve for k:

⇒ -20 = 5k

⇒ k = -20/5

⇒ k = -4

The direct variation equation :

⇒ y = -4x

Substitute the values of y = -30 in the above equation and solve for x:

⇒ -30 = -4x

⇒ 4x = 30

⇒ x = 30/4

⇒ x = 7.5

Thus, the value ofx = 7.5 when y = -30

Learn more about the equation here:

brainly.com/question/10413253

#SPJ2

The sum of 20.7 and a number is 50.5.

Answers

20.7 +x = 50.5

To solve it
x= 50.5 - 20.7
x = 29.8

Answer:

x = 29.8

Step-by-step explanation:

x represents the unknown number

20.7 + x = 50.5

x + 20.7 - 20.7 = 50.5 - 20.7

x = 50.5 - 20.7

x = 29.8

30 POINTS PLEASE HELP THIS IS DUE TMRRRR

Jane and Tony were given the following expression: -2 (3x - y)^2. Jane translated it to say" the product of -2 and the difference
between three times a number and a number squared". Tony translated it to say "-2 times the difference of three times a number and the
square of a different number".
1. Whose translation is correct?

Answers

Answer:

I think Tony would be right, I THINK!!

i think tony is corrected because jane said “product of -2” which means answer to a multiple problem

Quadrilateral KLMN is similar to quadrilateral WXYZ. K Y Z W N M Complete the statements below. 1. Angle NKL is congruent to angle​

Answers

Angel nkl is congruent to what angle

Answer:

Angle NKL is congruent to angle XYZ.

Step-by-step explanation:

I took the test and it was right

Hope this helped

what is "Triple y to the 5 power"

Answers

Triple y to the 5 power is 3y^5
It is 3y^5
explanation
¯\_(ツ)_/¯

7t-8t+4=5t-2
Solve for t

Answers

Answer:

t=1

Step-by-step explanation:

7t-8t+4=5t-2

-1t+4=5t-2

-1t+6=5t

6=6t

1=t

Check

7t-8t+4=5t-2

7(1)-8(1)+4=5(1)-2

-1+4=5-2

3=3

please give brainlist

t=1/3

hope this helped

(3)(-10) = 1
What is the answer to this problem?

Answers

Answer:

-30

Step-by-step explanation:

3*-10 = -30

The negative rules are simply:

negative*negative = positive

negative*negative*negative = negative

Hope I helped

DaniElSabiondo
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