Respuesta :
Answer:
less than
Step-by-step explanation:
The question wants you to fill the missing answer. But we need to solve the expression first to know the blank space.
The expression is 22/7 - 2/3 divided by 2 whether is greater than or less than or equal to 22/7-2/3.
22/7 - 2/3 ÷ 2 = (66 - 14 )/21 ÷ 2 = 52/21 ÷ 2
52/21 ÷ 2 = 52/21 × 1/2
52/21 × 1/2 = 52/42
The fraction can be broken further
52/42 = 26/21
22/7 - 2/3 = 52/21
Therefore,
26/21 less than 52/21
If the value of the two expression is not same than the less than , greater than or other inequity signs are used.
The (22/7-2/3) divided by 2 is less than the value of (22/7-2/3).
What is the equality?
Equality is the relation between two expression which indicates that the two expressions has the same value.
If the value of the two expression is not same than the less than , greater than or other inequity signs are used.
The value of 22/7 -2/3 is,
[tex]\dfrac{22}{7} -\dfrac{2}{3} =\dfrac{22\times3-2\times7}{7\times3} \\\dfrac{22}{7} -\dfrac{2}{3} =\dfrac{66-14}{21} \\\dfrac{22}{7} -\dfrac{2}{3} =\dfrac{52}{21} \\[/tex]
The value of the (22/7-2/3) divided by 2 is,
[tex](\dfrac{22}{7} -\dfrac{2}{3} )\div2=\dfrac{\dfrac{52}{21} }{2} \\(\dfrac{22}{7} -\dfrac{2}{3} )\div2={\dfrac{52}{21\times2} }\\(\dfrac{22}{7} -\dfrac{2}{3} )\div2={\dfrac{52}{42} }\\(\dfrac{22}{7} -\dfrac{2}{3} )\div2={\dfrac{26}{21} }[/tex]
Now the difference of The value of the (22/7-2/3) divided by 2 and the value of 22/7 -2/3 is,
[tex]=\dfrac{26}{21} -\dfrac{52}{21} \\=\dfrac{26-52}{21} \\=\dfrac{-26}{21}[/tex]
Minus sign indicate that the value is less than.
Hence the (22/7-2/3) divided by 2 is less than the value of (22/7-2/3).
Learn more about the inequality expression here;
https://brainly.com/question/15735450
