Anonymous
Anonymous asked in Science & MathematicsMathematics · 2 months ago

# Fraction Question I can't find the right answer :(?

So this question is actually an exercise word fraction. I rarely use fractions so I barely remember how to go about figuring out this question and what method to use due to the explanation not being fully thorough.

Barry bought a wooden board that measured 8 feet in length. He cut off a piece that measured 6 5/9 feet. How much of the board was left?

so the explanation said to change the whole number to a mixed number, then subtract.

Then it says change 8 into an equal mixed number and that the fraction part of the mixed number needs a denominator of 9

then it says 8 = 7 + 1 = 7 + 9/9

I did these steps but I get more confused because I can't seem to get 7 9/9

what are the steps I am missing? I am way too embarrassed to ask for help from anyone I know in person.

Please go into detail on the steps so I can learn to master this easier.

Thank you! :)

Update:

So I know the answer now thank you all! But now what I'm trying to figure out now I apologize if it sounds stupid but it's how they got 7 9/9 to use to come up with to get that answer for some reason the book wants me to do it this way even though it's longer it seems :/

Relevance

They , I think, are just trying to show that

you can do fractional math

by adding or subtracting  the integer parts and fractional parts

separately.

In this case, it doesn't really help.

I now see how it helps a little now

so you would have

8 -6 = 2

0 - 5/9 = -4/9

so if you don't want a -4/9

you change

7+1 = 7+ 9/9

then you can subtract  = 9/9 -5/9 = 4/9

7- 6 = 1

giving

1 4/9

to subtract the fractional part , it is easier

if the 1st fraction is larger than the 2nd

so you don't get a negative fraction.

take more appropriate examples

• 8 can be expressed as 72/9 to have the same denominator as 6 5/9

72/9 = 7 9/9

7 9/9 - 6 5/9

1 4/9

• You cannot do this on a calculator without a special method or a fractional calculator.

8=7 9/9

7 9/9=6 5/9=7-6=1,  9/9-5/9=4/9>

>1& 4/9ft.

6 4/9 + 1 5/9= 7 9/9 = 8ft.

• This is the way I would do it.   5/9 of a foot I would change to inches.

First I would divided 5 by 9 which is 0.5556    then multiply by 12 which is 6.666 inches.

Convert 8ft to inches.

96 - (72+ 6.6666) =   17.3333  inches left over    or 1ft 5.333 inches

• Barry bought a wooden board that measured 8 feet in length.

He cut off a piece that measured 6 5/9 feet.

The length of the board that was left was 1 4/9 feet.

• 8ft = 7ft + 1ft, but 1 ft = 9/9 ft

so 8ft = 7ft + 9/9ft  ((which is 7 9/9 ft, the + is assumed))

7ft + 9/9ft - 6ft - 5/9ft

= 1ft 4/9ft

or 1 4/9 ft  ((which is a weird way to write it))

• 7 + 9/9 - 6 - 5/9....{ 8 - 6  5/9}.....7-6 = 1 , 9/9 - 5/ 9 = 4/9 ....1  4/9

• If the problem is that you don't know how to set up the problem and the fractions seem to get in the way of that, think of the same question with integers so you can more easily see the steps needed to solve it.

I have a board that is 5 feet in length and then cut off 2 feet.  How much is left?

This should be obvious:  3 feet, found by subtracting 2 from 5.

An 8-foot board has 6 5/9 feet cut off from it, how much is left:

It's the same question with different numbers so the steps you follow to solve it is the same:  subtract:

8 - 6 5/9

First, we'll change the mixed number into an improper fraction:

8 - 59/9

Then prepare the subtraction of fractions by finding a common denominator:

72/9 - 59/9

Next, subtract the numerators:

13/9

Finally, convert back into a mixed number:

1 4/9 feet

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I find it easier this way vs. turning the integer into a mixed number.  Try to always convert everything into improper fractions.  The math is more straightforward that way.