Question

Mark simplified three over five divided by five over eight.; his work is shown below. Identify where he made his error.

Original division problem: three over five divided by five over eight.

Step 1: three over five multiplied by eight over five.

Step 2: three times eight over five times five.

Step 3: twenty-four over five.

Step 4: four and four over five.

Answer 1

@mathway @King.Void. @welshfella are any of you available to help me?

Answer 2

\[ \huge \frac{ \frac{ 3 }{ 5 } }{ \frac{ 5 }{ 8 } }\]

Answer 3

Based on his work, Step 1 is \[\huge \frac{ 3 }{ 5 } \times \frac{ 8 }{ 5 }\]

Is this correct?

Answer 4

Yes

Answer 5

Right, because when you divide, you multiply 3/5 to the reciprocal of 5/8, which is 8/5. :)

Answer 6

Step 2 is \[\huge \frac{ 3 \times 8}{ 5 \times 5 }\] Is this right?

Answer 7

Yes

Answer 8

@mathway

Answer 9

For Step 3, he multiplied\[ \huge \frac{ 3 \times 8}{ 5 \times 5 }=\frac{ 24 }{ 5 }\].

Is this correct?

Answer 10

yes

Answer 11

What is 3 x 8?

Answer 12

What is 5 x 5?

Answer 13

oh no 3x8= 24 5x5=25

Answer 14

Yes, so was his Step 3 right or wrong? :)

Answer 15

wrong

Answer 16

So you can conclude that he made an error in Step 3. :)

Answer 17

Yes

Answer 18

Thank you (;