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mel-nik [20]
3 years ago
15

Find five rational numbers between 2/3and4/5​

Mathematics
2 answers:
daser333 [38]3 years ago
8 0

Answer:

31/45, 32/45, 11/15, 34/35, 7/9.

Step-by-step explanation:

The LCM of 3 and 5 is 15 so we can write 2/3 and 4/5 as:

10/15 and  12/15 so one rational number between these is 11/15.

Now 11/15 = 33/45 and 4/5 = 36/45

So 2 rationals between these are 34/45 and 35/45 = 7/9

2/3 = 30 /45 and 11/15 = 33/45

so  2 rationals between these are 31/45 and 32/45.

alexdok [17]3 years ago
7 0

Answer:

61 / 90, 62 /90, 63 /90, 64/90, 65/90

Explanation:

2/3 = 2 x 5 / 3  x 5 

       = 10 / 15 

4/5 = 4 x 3 / 5 x 3 

       12 / 15 

we can find 5 rational numbers betwen 2/3 and 4/5 by multiplying them with 5 + 1 = 6 

10 / 15  X 6 /6 

= 60 / 90 

12/ 15 X 6 /6 

= 72 / 90 

the rational numbers = 61 / 90  62 /90  63 /90  64/90  65/90  

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Find three consecutive even numbers whose sum is 1884.
Scilla [17]

Answer:

smallest number=626

middle number=628

larger number=630

Step-by-step explanation:

To find the numbers, let's use n as the variable. Since we know that the numbers are consecutive even numbers, we know that they increase by 2. For example, we could have 2+4+6=12.

Knowing that the consecutive numbers increase by two's, we can use this.

smallest number: n

middle number: n+2

larger number: n+4

All we have to do is add these together and set it equal to 1884.

n+(n+2)+(n+4)=1884          [combine like terms]

3n+6=1884                         [subtract both sides by 6]

3n=1878                              [divide both sides by 3]

n=626

Now that we know n=626, we also know that the other numbers are 626, 628, 630 respectively.

5 0
3 years ago
Seven and thirty twp hundreths plus two and one tenth times two and seven tenths minus 18a
alexdok [17]
Answer:  Write the expression as:

" 70 \frac{32}{100} +
                         2\frac{1}{10} * 2\frac{7}{10 − 18a " ; 
______________________________________________________
or;  write as:
______________________________________________________
           " 70.32  + (2.1) * (2.7)  − 18a " ; 
______________________________________________________

To simplify:
______________________________________________________

  Using "PEDMAS" (the "order of operations") ; 

the "multiplication" comes first; 

So:  →  "(2.1) * (2.7) =  5.67 " .

And rewrite:
______________________________________________________
 " 70.32  + 5.67 − 18a " .

Now:  " 70.32 + 5.67 = 75.99 " ; 

So, we can the final simplified expression as:
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   " 75.99  −  18a " ;  

or; write as:  " 75\frac{99}{100}  −  18a " .
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3 years ago
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Step-by-step explanation:

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A scale reports a 15-pound weight as weighing 12.375 pounds. Which of the following is true?
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