Year 7 division problem

[Dead3eD]

Hello all,
I have been stumped on a division problem from my year 7 exercise book. After multiple attempts of trying to solve it I'm still stuck on what should be a fairly simple question. I have been trying to get my head around converting the numbers into fractions and following with reciprocals, but I'm still not doing something right. The question is as follows: 3 divided by 3 divided by 3 divided by 3 divided by 3.

3 / 3 / 3 / 3 / 3

My working out.

3 divided by 3 = 1
1 divided by 3 = 1/1 * 3/1 = 3/1
3/1 * 3/1 = 9/1
9/1 * 3/1 = 27/1

The answer section at the back of the book informs me that the correct answer is 1/27, yet I'm completely confused as to where I went wrong. Could someone please help me with the working out.

Thank you for your time and help,

Ed

 

[Deleted member 4993]

Hello all,
I have been stumped on a division problem from my year 7 exercise book. After multiple attempts of trying to solve it I'm still stuck on what should be a fairly simple question. I have been trying to get my head around converting the numbers into fractions and following with reciprocals, but I'm still not doing something right. The question is as follows: 3 divided by 3 divided by 3 divided by 3 divided by 3.

3 / 3 / 3 / 3 / 3

My working out.

3 divided by 3 = 1
1 divided by 3 = 1/1 * 3/1 = 3/1
3/1 * 3/1 = 9/1
9/1 * 3/1 = 27/1

The answer section at the back of the book informs me that the correct answer is 1/27, yet I'm completely confused as to where I went wrong. Could someone please help me with the working out.

Thank you for your time and help,

Ed

3 / 3 / 3 / 3 / 3

= 3* 1/3 * 1/3 * 1/3 * 1/3

= 1 * 1/3 * 1/3 * 1/3

= 1/3 * 1/3 * 1/3

= 1/27

 

[Ishuda]

Hello all,
I have been stumped on a division problem from my year 7 exercise book. After multiple attempts of trying to solve it I'm still stuck on what should be a fairly simple question. I have been trying to get my head around converting the numbers into fractions and following with reciprocals, but I'm still not doing something right. The question is as follows: 3 divided by 3 divided by 3 divided by 3 divided by 3.

3 / 3 / 3 / 3 / 3

My working out.

3 divided by 3 = 1
1 divided by 3 = 1/1 * 3/1 = 3/1
3/1 * 3/1 = 9/1
9/1 * 3/1 = 27/1

The answer section at the back of the book informs me that the correct answer is 1/27, yet I'm completely confused as to where I went wrong. Could someone please help me with the working out.

Thank you for your time and help,

Ed

To elaborate slightly on what Subhotosh Khan posted, you seem to be saying it correctly but doing the opposite
3 divided by 3 = 3/3 = 1
divided by three = (1)/3 = (1) * (1/3) = 1/3
divided by three = (1/3) / 3 = (1/3)*(1/3) = 1/9
divided by three = (1/9) / 3 = (1/9)*(1/3) = 1/27

 

[stapel]

3 divided by 3 = 1
1 divided by 3 = 1/1 * 3/1 = 3/1

But 1/1 = 1 and 3/1 = 3, so 1/1 * 3/1 = 1 * 3. How did you get that "1 divided by 3" equalled 1 multiplied by 3? :shock: