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3 years ago

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

You might be interested in

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:
______________________________________________________
" 75.99 − 18a " ;

or; write as: " 75 $\frac{99}{100}$ − 18a " .
______________________________________________________

7 0

3 years ago

How to solve this question please helpp!!!!!!<br><br><br> Q1. cos -1 ( - √3/2 )

Amiraneli [1.4K]

Answer:

cos( $\sqrt{\frac{3}{2} }$ ) or 0.339