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german
2 years ago
6

To find the quotient of two fractions, you first need to rewrite the division problem as an equivalent multiplication problem. F

ind this quotient using multiplication
What is the reciprocal of the divisor?



Rewrite the division problem as an equivalent multiplication problem using the reciprocal of the divisor.

Mathematics
1 answer:
Jet001 [13]2 years ago
5 0

Answer:

10/18 simplifeid= 5/9

Step-by-step explanation:

Change the division sign to a multiplication sign

flip 6/5 to 5/6 (which is the reciprocal)

then multiply across the top and bottom

2x5=10

3x6=18

10/18 divided by 2 is 5/9

I learned KCF which stands for keep it, flip it, change it

so keep the first fraction the same

change the division sign to a multiplication sign

and then flip the numerator and denometor

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\dfrac{-2}{3} \div 2\dfrac{1}{4} = <br> 3<br> −2<br> ​ <br> ÷2 <br> 4<br> 1<br> ​
bekas [8.4K]

Answer:

\dfrac{-2}{3} \div 2\dfrac{1}{4} = \dfrac{-8}{27}

Step-by-step explanation:

Given

\dfrac{-2}{3} \div 2\dfrac{1}{4} =

Required

Solve

Start by converting the mixed number to improper fraction

\dfrac{-2}{3} \div \dfrac{9}{4} =

Convert the division to muliplication

\dfrac{-2}{3} * \dfrac{4}{9} =

\dfrac{-2*4}{3*9}=

\dfrac{-8}{27}

Hence:

\dfrac{-2}{3} \div 2\dfrac{1}{4} = \dfrac{-8}{27}

7 0
3 years ago
Tien Chou's tax return for last year shows a total tax of $8,278. Tien's employer withheld $8,450 from her wages during the year
worty [1.4K]

Answer: 16,728

Step-by-step explanation:

8 0
3 years ago
Olivia has at most 90$ to spend on clothes she wants to buy a pair of jeans for 22$ and spend the rest on shirts that cost 8$ ea
Elden [556K]

Answer:the greatest number of shirts she can buy = 8

Step-by-step explanation:

Amount of money Olivia  has =$90

cost of pair of jeans =$22

such that if she buys the pair of jean, Money left to buy shirts = $90-$22= $68

If 1 Shirt= $8

Number of shirts she can buy with $68 = $68/$8=  8.5= 8 1/2

Therefore the greatest number she can buy = 8 shirts.

6 0
3 years ago
A country's education department reported that in 2015, 70.8% of students enrolled in college or a trade school within 12 months
Gennadij [26K]

Answer:

The confidence interval has a lower limit of 0.546 and an upper limit of 0.675.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the z-score that has a p-value of 1 - \frac{\alpha}{2}.

In 2017, a random sample of 154 individuals who graduated from high school 12 months prior was selected. From this sample, 94 students were found to be enrolled in college or a trade school.

This means that n = 154, \pi = \frac{94}{154} = 0.6104

90% confidence level

So \alpha = 0.1, z is the value of Z that has a p-value of 1 - \frac{0.1}{2} = 0.95, so Z = 1.645.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6104 - 1.645\sqrt{\frac{0.6104*0.3896}{154}} = 0.546

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6104 + 1.645\sqrt{\frac{0.6104*0.3896}{154}} = 0.675

The confidence interval has a lower limit of 0.546 and an upper limit of 0.675.

6 0
2 years ago
Write in standard form the equation y - 9 = 1/3(x - 6).
Sidana [21]
Standard form: Ax + By = C
First make slope intercept
y = 1/3(x - 6) + 9
y = 1/3x - 2 + 9
y = 1/3x + 7
Now make standard form
Subtract 7 and y
1/3x - y = -7
Get rid of fraction
Multiply all by 3
Solution: x - 3y = -21
5 0
3 years ago
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