Question

Ida is cutting a 11/12 foot wooden board into 3/16 foot sections to do some detail work on a model she is building. How many whole 3/16 foot sections are there in the 11/12 foot wooden board? Explain your answer and show your work.

Answer 1

you have to give them the same denominator so multiply 11/12 by 4 and 3/16 by 3. giving you 44/48 and 9/48. then divied 44 by 9 giving you 4.8888
there for there are 4 whole 3/16 sections of the 11/12 board

Answer 2

4

Explanation:

We have to perform the division:

`\displaystyle(11)/(12)/(3)/(16)`

We turn it into a multiplication of the first fractions times the reciprocal of the second fraction:

`\displaystyle(11)/(12)\cdot(16)/(3)`

We can simplify the 16 on top with the 12 on bottom by dividing them by the common divisor 4, to get:

`\displaystyle(11)/(3)\cdot(4)/(3)`

Then we perform the multiplication:

`\displaystyle(44)/(9)`

We then divide 44 by 9 to get quotient 4 and remainder 8.

So we can write the result as the following mixed number:

`4\displaystyle(8)/(9)`

We are only asked for the whole part, which is 4. It means there are 4 whole 3/16 foot sections in the 11/12 foot wooden board.