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Ymorist [56]
3 years ago
5

Multiplying a number by 4/5 then dividing by 2/5 is the number same as multiplying by what number ?

Mathematics
1 answer:
Citrus2011 [14]3 years ago
8 0

Answer:

2

Step-by-step explanation:

When we multiply a number by \frac{4}{5} and then we divide by \frac{2}{5} we get

\displaystyle \frac{\frac{4}{5}}{\frac{2}{5}} =\frac{4}{5}*\frac{5}{2}=2

So, both operations are equivalent to multiply by 2

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kakasveta [241]
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Can someone give me the answers plz:)
Alborosie

Remark

There is no short way to do this problem and no obvious way to get the answer other that to solve each part.  

Solve

A

\dfrac{x + 1.6}{2} =\text{x + 0.1}                    Multiply by 2

x + 1.6 = 2(x + 0.1)                                         Remove the brackets

x + 1.6 = 2x + 0.1*2                                        

x + 1.6 = 2x + 0.2                                          Subtract x from both sides

1.6 = x + 0.2                                                  Subtract 0.2 from both sides  

1.6 - 0.2 = x                        

1.4 = x

Circle A

B

Subtract 2x from both sides.

3x - 2x = 1.4

Circle B

C

Remove the brackets.

4x + 6 = 2x - 6           Add 6 to both sides

4x + 12 = 2x               Subtract 4x from both sides.

12 = -2x                      Divide by - 2

12/-2 = x

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D

I'm going to be very scant in my solution of this. You can fill in the steps.

3x = 4.2

x = 4.2/3

x = 1.4

Circle D

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Answer:

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