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5. - 1 5/7 divided by 1/2

2 Answers

3 votes

Answer: -3 3/7

Explanation:

First, you can convert -1 5/7 to an improper fraction by multiplying the denominator with the whole number, then add the answer to the numerator. Like this:

7 × 1 = 7

7 + 5 = 12

12 will be your numerator and 7 will be your denominator. When you're done converting, bring down the negative sign. The fraction should be:

-12/7

Now, since -1 5/7 is -12/7, we can divide.

To divide, we can use, KCF (Keep, Change, Flip)

First, keep -12/7.

Second, change division to multiplication.

Third, flip 1/2.

Your problem will be set up like:

-12 /7 × 2/1

Now, we can solve. Multiply both the numerator AND the denominator. Since you're multiplying, you don't have to change the denominator to match each other. The answer will be:

-24 / 7

However, this fraction is improper. We can use long division to make this fraction proper.

Divide 24 and 7. You'll get 3, with a remainder of 3.

The remainder will be the new numerator and the answer will be the whole number.

3 - Remainder (Whole Number)

3 - Answer (New Numerator)

7 - Dividend (Original Denominator) Will not be changed

Hence, your final answer is:

-3 3/7

Reply below if you have any questions or concerns.

You're Welcome!

- Nerdworm

User Robaker
by
8.2k points
6 votes

Answer:


-(24)/(7) }.

Explanation:

1. Turn the mixed fraction into an improper fraction.


\sf -1(5)/(7)=\\\\ \\ -1+(5)/(7)=\\\\ \\ -((7)/(7)+(5)/(7))=\\ \\ \\-((12)/(7))

2. Write the division.


(-(12)/(7) )/((1)/(2) )

3. Use the properties of fraction to rewrite the division (check attached image).


-(12)/(7) }*(2)/(1) =\\ \\ \\-(12)/(7) }*2=\\ \\ \\-(12*2)/(7) }\\ \\ \\-(24)/(7) }

5. - 1 5/7 divided by 1/2-example-1
User Rod Kimble
by
8.0k points

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