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padilas [110]
3 years ago
6

Complete the statement below to explain how this model shows that 1/6 ÷ 1/4 = 2/3.

Mathematics
2 answers:
svlad2 [7]3 years ago
5 0

Answer:

The answer is 2/3 and I will show the working to prove that in the explanation

Step-by-step explanation:

\frac{1}{6} ÷ \frac{1}{4}

\frac{1}{6}×\frac{4}{1}

Answer =\frac{1}{6}×\frac{4}{1} = \frac{2}{3}

  • So basically what is happening in the above steps what I have shown is that first I am changing the division sign into multiplication and then I am reciprocating the fraction  of 1/4 into 4/1 because on the other side of it is multiplying and after doing that I am simplifying the fraction 4/6 by dividing it  by 2 and hence I got a fraction of 2/3 as the answer
never [62]3 years ago
3 0

It takes 2/3 of a 1/4 bar to make 1/6

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x

=

−

8

,

−

2

Explanation:

Given:

x

2

+

10

x

+

16

=

0

To complete the square put the two

x

terms on the left and the constant on the right of the equation:

x

2

+

10

x

=

−

16

Complete the square by multiplying the

x

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1

2

:

1

2

⋅

10

=

5

and adding the square of this number to the right side of the equation:

5

2

=

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(

x

+

5

)

2

=

−

16

+

25

UNDERSTANDING CHECK:

(

x

+

5

)

2

=

x

2

+

10

x

+

25

.

The

+

25

was not in the original equation. If we add

+

25

to one side of the equation, we must add the same amount to the other side of the equation to keep it balanced.

(

x

+

5

)

2

=

9

To solve, square root both sides of the equation:

√

(

x

+

5

)

2

=

±

√

9

x

+

5

=

±

3

x

=

−

5

±

3

x

=

−

5

+

3

=

−

2

,

x

=

−

5

−

3

=

−

8

x

=

−

8

,

−

2

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3 years ago
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