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2 years ago

What's 3/4 times 7/9 in simplest form

2 answers:

7 0

3/4 times 7/9:

First, we must use the rule for multiplying fraction. The rule is: a/b times c/d = ac/ bd. Let's substitute our problem into that formation.
$\frac{3 \times 7}{4 \times 9}$

Second, we can now simplify. (3 times 7 = 21) and (4 times 9 = 36).
$\frac{21}{36}$

Third, since our fraction is not in the simplest form, we can simplify it down by listing the factors of both the numerator and denominator and then finding the greatest common factor (GCF).

Factors of 21: 1, 3, 7, 21
Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36

The GCF is 3, since only 1 and 3 were the common factors and since 3 is the greatest common factor.

Fourth, now we can divide our numerator (21) and denominator (36) by our recently found GCF which was 3.

$21 \div 3 = 7 \\ 36 \div 3 = 12$

Our new fraction in its simplest form is 7/12.

Answer in fraction form: $\fbox {7/12}$
Answer in decimal form: $\fbox {0.5833}$

rewona [7]2 years ago

7 0

Multiply 3 · 7 and 4 · 9
3/4 · 7/9 = 21/36
Divide top and bottom by 3
7/12 would be your answer.

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The number of hours a group of contestants spends preparing for a quiz show is listed below. What is the frequency table that re

harkovskaia [24]

I'll just show you how to make a frequency table using the above data.
We will group the data into class intervals and determine the frequency of the group.

<span>8 12 25 32 45 50 62 73 80 99 4 18 9 39 36 67 33
</span>
smallest data value = 4
highest data value = 99
difference = 99 - 4 = 95
number of data = 17

Let us assign a class interval of 20.

Class Interval Tally Frequency
0-20 8, 12, 4, 18, 9, 5
21-40 25, 32, 39, 36, 33 5
41-60 45, 50, 67 3
61-80 62, 73, 80 3
81-100 99 1

That is how a frequency table look like. Usually, under the Tally column, tick marks are written instead of the numbers but for easier monitoring, I used the numbers in the data set.

8 0

2 years ago

A line passes through the points (15,−13) and (16,−11). Hollis writes the equation y+13=(x−15) to represent the line. Which answ

Andru [333]

The equation formula is y - y1 = m(x-x1)

Using the first point for x1, y1:

Y +13 = m(x-15)

M is the slope which is the change in y over the change in x:

M = -11–13 / 16-15 = 2/1 = 2

The equation becomes y +13 =2(x+15)

The answer is:

He incorrectly wrote the slope in his equation. He should have written y+13=2(x−15).

8 0

2 years ago

Triangle Q R S is shown. Angle Q R S is a right angle. Angle R S Q is 30 degrees and angle S Q R is 60 degrees. The length of R

brilliants [131]

The value of sin(30°) is: One-half ⇒ 2nd answer

Step-by-step explanation:

In a right triangle there are two acute angles, the side opposite to the right angle is called hypotenuse, and the other two sides are opposite and adjacent to the acute angles

sine the acute angle (sin) = opposite side to it/hypotenuse
cosine the acute angle (cos) = adjacent side to it/hypotenuse
Tangent the acute angle (tan) = opposite side to it/adjacent side to it

In Δ QRS:

∵ m∠QRS = 90°

∵ SQ is opposite to ∠QRS

∴ SQ is the hypotenuse

∵ SQ = 10 units

∴ The hypotenuse = 10

∵ m∠RSQ = 30°

- The opposite side to ∠RSQ is RQ

∵ RQ = 5 units

∴ The opposite side to the angle of 30° = 5

∵ sin(30°) = opposite side to 30°/hypotenuse

∵ The opposite side to angle 30° = 5

∵ The hypotenuse = 10

∴ sin(30°) = $\frac{5}{10}$

∴ sin(30°) = $\frac{1}{2}$

The value of sin(30°) is: One-half

Learn more:

You can learn more about the trigonometry ratios in brainly.com/question/9880052

#LearnwithBrainly

5 0

2 years ago

Read 2 more answers

The function f(x) = 1/2 x + 3/2 is used to complete this table.

Mrac [35]

Answer:

a) f(-1/2) = -2 is NOT TRUE.

b) f(0) =3/2 is TRUE.

c) f(1) = -1 is NOT TRUE.

d) f(2) = 1 is NOT TRUE.

e) f(4) = 7/2 is TRUE.

Step-by-step explanation:

Here, the given function is $f(x) = (\frac{1}{2}) x+\frac{3}{2}$

Now, checking for each values for the given function:

a) Putting x = (-1/2):

$f(\frac{-1}{2} ) = (\frac{1}{2})(\frac{-1}{2} ) +\frac{3}{2} = \frac{-1}{4} + (\frac{3}{2} )\\\implies f(x) = \frac{-1 + 6}{4} = (\frac{5}{4} )$

and (5/4) ≠ -2

Hence, f(-1/2) = -2 is NOT TRUE.

b)Putting x = 0 :

$f(0) = (\frac{1}{2})(0 ) +\frac{3}{2} = (\frac{3}{2} )$

Hence, f(0) =3/2 is TRUE.

c) Putting x = 1:

$f(1 ) = (\frac{1}{2})(1 ) +\frac{3}{2} = \frac{1}{2} + (\frac{3}{2} )\\\implies f(x) = \frac{3 + 1}{2} = (\frac{4}{2} ) = 2\implies 2 \neq -1$

Hence, f(1) = -1 is NOT TRUE.

d)Putting x = 2:

$f(2 ) = (\frac{1}{2})(2 ) +\frac{3}{2} = 1+ (\frac{3}{2} )\\\implies f(x) = \frac{2 + 3}{2} = (\frac{5}{2} )$

and (5/2) ≠ 1

Hence, f(2) = 1 is NOT TRUE.

e)Putting x = 4:

$f(4 ) = (\frac{1}{2})(4 ) +\frac{3}{2} = 2 + (\frac{3}{2} )\\\implies f(x) = \frac{4 + 3}{2} = (\frac{7}{2} )$

Hence, f(4) = 7/2 is TRUE.

4 0

2 years ago

The manager of a shopping mall distributed a customer-satisfaction survey by handing it to people as they came through one of th

Nina [5.8K]

Answer:

No. The results of the survey cannot be generalized to the population of all customers of the shopping mall.

Step-by-step explanation:

Survey results are biased, because data is collected from customers who came trough one specific door of the mall.

Some of the customers <em>may be using some other door </em>where satisfaction survey is not given to these people while passing the door.

Therefore survey results does not reflect thoughts of the population of all customers.

4 0

2 years ago

Read 2 more answers