-1 2/3 + 3 1/2 as a mixed number

Mathematics

2 answers:

balu736 [363]4 years ago

8 0

1 83/100 because 3-1=2

Harrizon [31]4 years ago

7 0

3 1/6
-1 2/3 + 3 1/2
You add the base numbers first, -1 + 3 to get 2.
Then you add the fraction part of the number: 2/3 + 1/2
You find a common denominator, it's 6.
How do you get 2/3 with a denominator of 6? You multiply 3x2, to get six. what you do to the bottom of the fraction you do to the top. So you multiply both parts by 2.
2x2/3x2= 4/6
You do the same for the other fraction:How do you get the denominator to 6? You multiply by 3.
1x3/2x3= 3/6
Then you add the two new fractions together:
4/6+3/6=7/6 which is simplified into a mixed number as 1 1/6
Since we have another base number you add it to the previous base number we got when we added the mixed numbers. -1 and 3 to get 2. So you add the old base number of 2, to the new base number of 1 to get 3. Then you just put the fraction next to it to get your answer:
3 1/6
Hope it helps.

You might be interested in

In the figure above, quadrilateral ABCD is a parallelogram. Let x represent the measure of angle GBF, y represent the measure of

ira [324]

Answers:
measure angle x = 40°
measure angle y = 35°
measure angle z = 55°

Explanation:
Part (a): getting angle x:
In triangle BED, we have:
measure angle BED = 90°
measure angle BDE = 50°
Therefore:
measure angle DBE = 180 - (90+50) = 40°
Now, we have angle DBE and angle GBF vertically opposite angles.
This means that they are both equal. Therefore angle GBF = 40°
Since angle GBF is x, therefore:
x = 40°

Part (b): getting angle y:
We know that the sum of measures of angles on a straight line is 180.
This means that:
angle GBF + angle GBC + angle CBE = 180
We have:
angle GBF = 40°
angle GBC = 105°
angle CBE = y
Therefore:
40 + 105 + y = 180
y = 35°

Part (c): getting angle z:
In triangle BCE, we have:
measure angle BCE = z
measure angle BEC = 90°
measure angle CBE = 35°
Therefore:
z + 90 + 35 = 180
z = 55°

Hope this helps :)

8 0

3 years ago

Factor the expression 77x + 21

klemol [59]

Answer: 7(11x + 3) .
______________________________________________________
Explanation:
______________________________________________________
We are asked to: "Factor the expression: 77x + 21 ."
______________________________________________________
Upon examination of both: "77x" and "21" ; we can see that "7" is the greatest common factor (GCF) of BOTH. We can examine this visually, but let us write this out:
_______________________________________________________
21: 1, 3, 7, 21

77x ;
or simply: 77: 1, 7, 11, 77
_____________________________
So, to proceed:
_____________________________
Write down a: "7" ;
_______________________________
7 *( ????)
________________________________
Note the distributive property of multiplication:
______________________________________
a(b+c) = ab + ac ; AND:

a(b - c) = ab - ac ;
____________________________________________________
So , we write down a "7" ;
____________________________________________________
7*( ???
____________________________________________________
The first value is: "+77x" ; so, " 7 * ? = 77x ?" ;

We can examine this visually and realize that the value is "11x";

or we can divide, as follows: (77x/ 7 = 11x ).
___________________________________________
So we have already written down: 7* (??? )
________________________________________
We can down rewrite as: " 7 * (11x ......)
________________________________________
(since " 7 * 11x = 77x ") ;
_____________________________________
The next (and in our case, final !) value in our expression is:
__________________________________________________
" +21 " ;
__________________________________________________
We have written down: 7* (11x ......)
__________________________________________________
So now, we need to determine: "7 * ? = 21" ?
__________________________________________________
We can inspect visually and determine the value is: "3" ;
__________________________________________________
Or we can solve by division, as follows:
__________________________________________________
"7 * ? = 21 ?" ; 21 / 7 = ? ; 21 / 7 = 3 . The value is: "3" .
__________________________________________________
So , we have: " 7 * (11x .....) " ; now we can rewrite as:
____________________________________________________________
" 7*(11x + 3)" ; or, simply: " 7(11x +3)" ; The multiplication is implied).
_________________________________________________________
The answer is: 7(11x +3) .
_______________________________________
Does our answer make sense? Let us check!

The answer; " 7(11x +3) " is the factored expression of: "(77x + 21)" ;
__________________________________________________
So: " 7(11x +3) " should EQUAL "77x +21 " . Is this true??
___________________________________________________________

Remember the distributive property of multiplication:
________________________________________________________
a(b+c) = ab +ac ;
________________________________________________________
So; " 7(11x +3) " = (7*11x) + (7*3) ; which equals:
_______________________________________________
 77x + 21 . Yes!
________________________________________________________

8 0

3 years ago

To the nearest tenth of a second, how much time would it take the penny to hit the

lyudmila [28]

B. 0.6 seconds

Because they want you to round to the nearest 10th and 0 is the ground.

6 0

3 years ago

Read 2 more answers

write and solve an equation based off the verbal phrase: the difference between 7 and the product of 3x is 23

adelina 88 [10]

7 - 3x = 23
-3x = 16
x = -8