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damaskus [11]
3 years ago
7

PLEASE HELP I NEED HELP ITS MULTIPLYING FRIACTIONS AND MIXED FRACTIONS

Mathematics
2 answers:
salantis [7]3 years ago
7 0
Hello! the answers are (going across) 72/90 , 6/21 , 11/24 , 100/4 , 121/12 , 175/48
if u need me to explain how i got this, feel free to message me ! have a nice day:)<3
emmasim [6.3K]3 years ago
5 0

Answer:

<em><u>All answers are simplified</u></em>

1) 4/5

2)2/7

3)11/24

4)25

5)10 1/12

6)3 31/48

Step-by-step explanation:

<em><u>I simplified all of my answers</u></em>

1) 8/2 x 9/10= 72/90= 4/5

2)3/7 x 2/3= 6/21= 2/7

3)1/2 x 11/12= 11/24

4) 4 x 6 1/4= 4/1 x 25/4= 100/4= 25/1= 25

5)3 2/3 x 2 3/4= 11/3 x 11/4= 121/12= 10 1/12

6) 7/8 x 4 1/6= 175/48= 3 31/48

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Yanka [14]

Answer:

a) The function is: f(x, y) = x + y.

The constraint is: x*y = 196.

Remember that we must write the constraint as:

g(x, y) = x*y - 196 = 0

Then we have:

L(x, y, λ) = f(x, y) +  λ*g(x, y)

L(x, y,  λ) = x + y +  λ*(x*y - 196)

Now, let's compute the partial derivations, those must be zero.

dL/dx =  λ*y + 1

dL/dy =  λ*x + 1

dL/dλ = (x*y - 196)

Those must be equal to zero, then we have a system of equations:

λ*y + 1 = 0

λ*x + 1 = 0

(x*y - 196) = 0

Let's solve this, in the first equation we can isolate  λ to get:

λ = -1/y

Now we can replace this in the second equation and get;

-x/y + 1 = 0

Now let's isolate x.

x = y

Now we can replace this in the last equation, and we will get:

(x*x - 196) = 0

x^2 = 196

x = √196 = 14

then the minimum will be:

x + y = x + x = 14 + 14 = 28.

b) Now we have:

f(x) = x*y

g(x) = x + y - 196

Let's do the same as before:

L(x, y, λ) = f(x, y) +  λ*g(x, y)

L(x, y, λ) = x*y +  λ*(x + y - 196)

Now let's do the derivations:

dL/dx = y + λ

dL/dy = x + λ

dL/dλ = x + y - 196

Now we have the system of equations:

y + λ = 0

x + λ = 0

x + y - 196 = 0

To solve it, we can isolate lambda in the first equation to get:

λ = -y

Now we can replace this in the second equation:

x - y = 0

Now we can isolate x:

x = y

now we can replace that in the last equation

y + y - 196 = 0

2*y - 196 = 0

2*y = 196

y = 196/2 = 98

The maximum will be:

x*y = y*y = 98*98 = 9,604

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