What are 2 equivalent fractions for 4/5?

Jobisdone [24]

Here is your equation:

$9 \frac{1}{6} - 5 \frac{5}{5}$

To subtract fractions, the denominator must be the same. The denominator is the bottom number in the fraction. The 2 denominators are 5 and 6. In order to make them the same, you have to find the LCM OF 5 and 6. To find it, list the multiples of both numbers and see which is common.

$5- 5, 10, 15, 20, 25,\bf30$

$6-6, 12, 18, 24,\bf 30$

The LCM of 5 and 6 is 30. Now change the mixed numbers so that they have common denominators.

$9 \frac{1 \times 5}{6 \times 5} = 9 \frac{5}{30}$

$5 \frac{5 \times 6}{5 \times 6} = 5 \frac{30}{30}$

Here is your new equation:

$9 \frac{5}{30} - 5 \frac{30}{30}$

Now you have a problem. You're subtracting a smaller fraction from a bigger fraction. That means you need to remove 1 from the whole number and add it to the fraction. Here's how:

$9 \frac{5}{30} \\ \\9-1 = 8\\ \\ 1 = \frac{30}{30} \\ \\ \frac{5}{30} + \frac{30}{30} = \frac{35}{30} \\ \\ 8 + \frac{35}{30} = 8 \frac{35}{30}$

Here is your new equation:

$8 \frac{35}{30} - 5 \frac{30}{30}$

Subtract:

$8 \frac{35}{30} - 5 \frac{30}{30} = 3 \frac{5}{30}$

Since the denominator(top number) is a multiple of the numerator(top number), divide both numbers by the numerator.

$3 \frac{5 \div 5}{30 \div 5} = 3 \frac{1}{6}$

Your answer is $3$ $\frac{1}{6}$

3 0

3 years ago

The Institute of Education Sciences measures the high school dropout rate as the percentage of 16- through 24-year-olds who are

STALIN [3.7K]

Answer:

We conclude that the proportion of dropouts has changed from the historical value of 0.081.

Step-by-step explanation:

We are given that in 2009, the high school dropout rate was 8.1%. A polling company recently took a survey of 1000 people between the ages of 16 and 24 and found 6.5% of them are high school dropouts.

The polling company would like to determine whether the proportion of dropouts has changed from the historical value of 0.081.

Let p = proportion of school dropouts rate

SO, Null Hypothesis, $H_0$ : p = 0.081 {means that the proportion of dropouts has not changed from the historical value of 0.081}

Alternate Hypothesis, $H_A$ : p $\neq$ 0.081 {means that the proportion of dropouts has changed from the historical value of 0.081}

The test statistics that will be used here is One-sample z proportion statistics;

T.S. = $\frac{\hat p-p}{{\sqrt{\frac{\hat p(1-\hat p)}{n} } } } }$ ~ N(0,1)

where, $\hat p$ = sample proportion of high school dropout rate = 6.5%

n = sample of people = 1000

So, test statistics = $\frac{0.065-0.081}{{\sqrt{\frac{0.065(1-0.065)}{1000} } } } }$

= -2.05

Also, P-value is given by the following formula;

P-value = P(Z < -2.05) = 1 - P(Z $\leq$ 2.05)

= 1 - 0.97982 = 0.0202 or 2.02%

Now at 5% significance level, the z table gives critical values between -1.96 and 1.96 for two-tailed test. Since our test statistics does not lies within the range of critical values of z so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region.

Therefore, we conclude that the proportion of dropouts has changed from the historical value of 0.081.

7 0

3 years ago

Mrs. Battle is designing a brick walkway to install in her front yard.

Otrada [13]

The answer is 122 bcuz it technically just thinking ur her

3 0

3 years ago

ashur solves the following system of linear euations. -3a + 7b = -16. -9a + 5 b = 16 which statement is true about the solution

tiny-mole [99]

Answer:

a=-4, b=-4. (-4, -4).

Step-by-step explanation:

-3a+7b=-16

-9a+5b=16

-------------------

-3(-3a+7b)=-3(-16)

-9a+5b=16

---------------------------

9a-21b=48

-9a+5b=16

------------------

-16b=64

b=64/-16

b=-4

-3a+7(-4)=-16

-3a-28=-16

-3a=-16+28

-3a=12

a=12/-3

a=-4

6 0

3 years ago

If you increase your current quality score of 85% by 7%, you will have a score of __________.

8090 [49]

This is the concept of arithmetic, if you increase your score of 85% by 7%, you will have a score of:
New score=old score+increase
=85+7
=92%
the new score will be 92%

4 0

3 years ago