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4 years ago

How do u work out the problem 5/6 × 22/3

Mathematics

2 answers:

Ksivusya [100]4 years ago

8 0

There is a very simple way to find the answer to this equation!

5/6 x 22/3 = ?

To find the answer, you multiply the numerators together and you multiply the denominators together.

5 x 22 = 110

6 x 3 = 18

This gives us the fraction 110/18

Now, you simplify the fraction. To do this, you ask yourself if both the numerator and denominator can be divided by the same number.

In this case, both can be divided by 2.

Now that we know we can simplify the fraction, you divide the numerator and denominator by 2.

110/18 simplified is 55/9

Finally, you need to turn the fraction into a mixed number. In order to do this, you take the numerator and divide it by the denominator:

55 divided by 9 gives us 6 with 1 remaining.

This means our final answer is 6 and 1/9

<h2>I hope this helped!</h2>

lord [1]4 years ago

7 0

Answer:

55/9

Step-by-step explanation:

sense It’s a fraction you multiply across then you simplify

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Answer:

105 divided by 7

Step-by-step explanation:

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3 years ago

Read 2 more answers

A shipment of 50 precision parts including 4 that are defective is sent to an assembly plant. The quality control division selec

natali 33 [55]

Answer:

0.3968 = 39.68% probability this shipment passes inspection.

Step-by-step explanation:

The parts are chosen without replacement, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

The probability of x successes is given by the following formula:

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}$

In which:

x is the number of successes.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

In this question:

50 parts means that $N = 50$

4 defective means that $k = 4$

10 are chosen, which means that $n = 10$

What is the probability this shipment passes inspection?

Probability that none is defective, so:

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}$

$P(X = 0) = h(0,50,10,4) = \frac{C_{4,0}*C_{46,10}}{C_{50,10}} = 0.3968$

0.3968 = 39.68% probability this shipment passes inspection.

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3 years ago

Evaluate 3/7r + 5/8s when r= 14 and s= 8

jasenka [17]

Answer:

Step-by-step explanation:

Step 1:

3/7r+5/8s

Step 2:

So u multiply 3/7 by 14

3/7 x 14= 42/7= 6

Step 2.5:

Now u multiply 5/8 by 8

5/8 x 8= 40/8= 5

Step 3:

6+5=11

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3 years ago

George studied 3/4 hour on monday and 7/8 hour on tuesday. how long did he study altogether on both days?

pentagon [3]

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4 years ago

The perimeter of a standard-sized rectangular rug is 4040 ft. the length is 22 ft longer than the width. find the dimensions.

Nataly_w [17]

L = w+22

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3 years ago