Find the difference 9 1/3 - 2/3

1 answer:

3 0

Answer: 9 1/3 - 2/3 = 8 2/3 .
___________________________________

Note: If the answer were "8 1/3" ;

then: "8 1/3 + 2/3 =? 9 1/3 ? "

→ "8 1/3 + 2/3 = 8 3/3 = 8 + 1 = 9 = only "9" ;
____________________________________________
So the answer has to be MORE than "8 1/3"

Try "8 2/3" → "8 2/3 + 2/3 =? 9 1/3?" ?? ;

→ "8 2/3 + 2/3 = 8 4/3 = 8 + 1 1/3 = 9 1/3 " → Yes!
_________________________________________________
So, the answer is: "8 2/3" .
_________________________________________________
Another method:
_________________
Given the problem: "9 1/3 - 2/3 " ;
___________________________________
Note that: "2/3 = 1/3 + 1/3"
__________________________________
So, "9 1/3 - 2/3 = 9 1/3 - (1/3 + 1/3) = 9 1/3 - 1/3 - 1/3 = ?
________________________________________________
Start with: "9 1/3 - 2/3" = 9. Then 9 - 1/3 = 8 3/3 - 1/3 = 8 2/3.
______________________________________________________
Another method:
____________________________
Given the problem:
____________________________
"9 1/3 - 2/3 = ?? " ;
____________________________
Convert "9 1/3" into "28/3" ; ("3*9 = 27"); ("27+1=28");
(The "3" comes from the "3" in the: "1/3" portion.)
_________________________________________________________
So, we rewrite as:
_____________________________________
28/3 - 2/3 = (28 - 2) / 3 = 26/3 ; or, 8 2/3 .
__________________________________________________

You might be interested in

Elena ate 2/8 of a pizza and Dylan ate 1/5. Use the number lines and benchmark fractions to estimate how much of the pizza they

netineya [11]

Answer:

18/40

Step-by-step explanation:

1. Find a common denominator

8, 16, 24, 32, 40

5, 10, 15, 20, 25, 30, 35, 40

2/8 times 5= 10/40

1/5 times 8= 8/40

10/40 plus 8/40= 18/40

7 0

3 years ago

Set of whole numbers less than 24

Dmitry_Shevchenko [17]

Answer:

2,4,6,8,10,12,14,16,18,20,,22

Step-by-step explanation:

4 0

2 years ago

If your starting salary were $35,000 and you received a 6% increase at the end of every year for 16 years, what would be the tot

guajiro [1.7K]

After 17 years of working you would have $70700

8 0

3 years ago

The point (1, −1) is on the terminal side of angle θ, in standard position. What are the values of sine, cosine, and tangent of

Lilit [14]

Check the picture below.

$\bf (\stackrel{a}{1}~,~\stackrel{b}{-1})\qquad \impliedby \textit{let's find the hypotenuse} \\\\\\ \textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies c = \sqrt{a^2+b^2} \qquad \begin{cases} c=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases} \\\\\\ c=\sqrt{1^2+(-1)^2}\implies c=\sqrt{2} \\\\[-0.35em] ~\dotfill$

$\bf sin(\theta ) \implies \cfrac{\stackrel{opposite}{-1}}{\stackrel{hypotenuse}{\sqrt{2}}}\implies \cfrac{-1}{\sqrt{2}}\cdot \cfrac{\sqrt{2}}{\sqrt{2}}\implies -\cfrac{\sqrt{2}}{(\sqrt{2})^2}\implies -\cfrac{\sqrt{2}}{2}$

$\bf cos(\theta ) \implies \cfrac{\stackrel{adjacent}{1}}{\stackrel{hypotenuse}{\sqrt{2}}}\implies \cfrac{1}{\sqrt{2}}\cdot \cfrac{\sqrt{2}}{\sqrt{2}}\implies \cfrac{\sqrt{2}}{(\sqrt{2})^2}\implies \cfrac{\sqrt{2}}{2} \\\\\\ tan(\theta ) = \cfrac{\stackrel{opposite}{-1}}{\stackrel{adjacent}{1}}\implies tan(\theta ) = -1$