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2 years ago

Express the fraction in simplest form.

2 answers:

7 0

4/16 is reduced to 1/4 by dividing the numerator and denominator by 4. 4/4 is 1 and 16/4 is 4, so the answer is C. 1/4.

blagie [28]2 years ago

4 0

4/16 in simplest form:

First, we need to find the greatest common factor (GCF) of 4 and 16. Why? We have to find the number that we are going to be dividing the numerator and denominator by to get the simplest form of the fraction. Let's list the factors for 4 and 16:

Factors of 4: 1, 2, 4
Factors of 16: 1, 2, 4, 8, 16

Out of the two sets of factors, which ones are the common ones? The common factors between the two are 1, 2, and 4. Since we are looking for the GREATEST common factor, we have to look at the highest number out of 1, 2, and 4. The GCF is 4, since 4 is higher than 1 and 2.

Second, we now have a number that we are going to divide the numerator and denominator by, which is 4. The numerator is the top number of the fraction (4) and the denominator is the bottom number of the fraction (16).Let's divide now.

$4 \div 4 = 1 \\ 16 \div 4 = 4$

Third, we now have the simplified fraction. (1) is our new numerator, and (4) is our new denominator. This makes the new simplified fraction 1/4. So, your answer is C.

Answer in fraction form: $\fbox {1/4}$
Answer in decimal form: $\fbox {0.25}$

You might be interested in

One solution of x^2 - 64 = 0 is 8. what is the other solution

wel

Answer:

- 8

Step-by-step explanation:

Given

x² - 64 = 0 ( add 64 to both sides )

x² = 64 ( take the square root of both sides )

x = ± $\sqrt{64}$ = ± 8

Solutions are x = 8 and x = - 8

6 0

2 years ago

Projectile Is shot upward from the surface of Earth with an initial velocity of 136 meters per second. Use the position

Anna007 [38]

Answer:

$v(3\,s) = 106.6\,\frac{ft}{s}$ , $v(15\,s) = -11\,\frac{ft}{s}$

Step-by-step explanation:

The velocity function of the projectile is obtained by deriving the position function:

$v(t) = -9.8\cdot t + 136$

Now, the velocities after 3 and 15 seconds are, respectively:

$v(3\,s) = -9.8\cdot (3) + 136$

$v(3\,s) = 106.6\,\frac{ft}{s}$

$v(15\,s) = -9.8\cdot (15) + 136$

$v(15\,s) = -11\,\frac{ft}{s}$

6 0

3 years ago

Somebody please help me on multiple step equations with parenthesis.

mash [69]

Answer:

k = 8

Step-by-step explanation:

8(10 - k) = 2k

First, distribute within the parenthesis,

80 - 8k = 2k

Add 8k to both sides of the equation

80 = 10k

Divide both sides by 10 to get your answer

8 = k

I hope this helps :)

4 0

3 years ago

Using data from a study, we find a significant difference in the proportion of fruit flies surviving after 13 days between those

mestny [16]

The hypothesis shows that we have evidence that the proportion surviving after eating organic is higher.

<h3>How to illustrate the information?</h3>

The following can be deduced from the information:

x1 = 275

x2 = 170

n1 = 500

n2 = 500

The sample proportion will be:

p1 = 275/500 = 0.55

p2 = 170/500 = 0.34

The pooled proportion will be:

= (275 + 170)/(500 + 500)

= 0.44

The test statistic is 6.681. It should be noted that the test statistics is a number that's calculated by a statistical test. It shows how the observed data are far from the null hypothesis.

The p value in this scenario is extremely small. The p value is a measurement used to validate a hypothesis against the observed data. Therefore, we have to reject the null hypothesis.

In this case, the hypothesis shows that we have evidence that the proportion surviving after eating organic is higher.

Learn more about hypothesis on:

brainly.com/question/15980493

#SPJ1

8 0

2 years ago

Simon used 3 pears and 9 apples to make a fruit salad. What is the ratio of the number of pears to the number of apples in the f

Yanka [14]

Answer:

1 : 3

Step-by-step explanation:

pears : apples = 3 : 9 = 1 : 3

___

A common factor of 3 can be removed from each number in the ratio to reduce it to lowest terms.

3 0

3 years ago