Examples with solutions for Fractions as Divisors: Using negative numbers

Exercise #1

Solve the following:

99= \frac{-9}{9}=

Step-by-Step Solution

Let's remember that we are dividing a positive number by a negative number, so the result will necessarily be a negative number.

We will divide both the numerator and the denominator by the highest number that both are divisible by.

In this case, the number is -9

We will divide the fraction as follows:

9:99:9=11=1 \frac{-9:-9}{9:-9}=\frac{1}{-1}=-1

Answer

1 -1

Exercise #2

Solve the following:

102= \frac{10}{-2}=

Step-by-Step Solution

Let's remember that we are dividing a positive number by a negative number, so the result will necessarily be a negative number.

We will divide both the numerator and the denominator by the highest number that both are divisible by.

In this case, the number is -2

We will divide the fraction as follows:

10:22:2=51=5 \frac{10:-2}{-2:-2}=\frac{-5}{1}=-5

Answer

5 -5

Exercise #3

Solve the following:

29= \frac{2}{-9}=

Step-by-Step Solution

First let's remember that we are dividing a positive number by a negative number, so the result must be a negative number.

Then we will divide the numerator and the denominator by the highest number that both are divisible by.

In this case, there is no number by which we can divide, so the fraction remains as it is.

Answer

29 -\frac{2}{9}

Exercise #4

Solve the following:

40120= \frac{-40}{120}=

Step-by-Step Solution

Let's remember that we are dividing a positive number by a negative number, so the result will necessarily be a negative number.

We will divide both the numerator and the denominator by the highest number that both are divisible by.

In this case, the number is -40

We will divide the fraction as follows:

40:40120:40=15=15 \frac{-40:-40}{120:-40}=\frac{1}{-5}=-\frac{1}{5}

Answer

13 -\frac{1}{3}

Exercise #5

Solve the following:

402= \frac{-40}{2}=

Step-by-Step Solution

Let's remember that we are dividing a positive number by a negative number, so the result will necessarily be a negative number.

We will divide both the numerator and the denominator by the highest number that both are divisible by.

In this case, that number is 2

We will divide the fraction as follows:

40:22:2=201=20 \frac{-40:2}{2:2}=\frac{-20}{1}=-20

Answer

20 -20

Exercise #6

Solve the following:

5302= \frac{-530}{2}=

Step-by-Step Solution

Let's remember that we are dividing a positive number by a negative number, so the result will necessarily be a negative number.

We will divide both the numerator and the denominator by the highest number that both are divisible by.

In this case, that number is 2

We will divide the fraction as follows:

530:22:2=2651=265 \frac{-530:2}{2:2}=\frac{-265}{1}=-265

Answer

265 -265

Exercise #7

Solve the following:

567= \frac{56}{-7}=

Step-by-Step Solution

Let's remember that we are dividing a positive number by a negative number, so the result will necessarily be a negative number.

We will divide both the numerator and the denominator by the highest number that both are divisible by.

In this case, that number is -7

We will divide the fraction as follows:

56:77:7=81=8 \frac{56:-7}{-7:-7}=\frac{-8}{1}=-8

Answer

8 -8

Exercise #8

Solve the following:

707= \frac{-70}{7}=

Step-by-Step Solution

Let's remember that we are dividing a positive number by a negative number, so the result will necessarily be a negative number.

We will divide both the numerator and the denominator by the highest number that both are divisible by.

In this case, that number is 7

We will divide the fraction as follows:

70:77:7=101=10 \frac{-70:7}{7:7}=\frac{-10}{1}=-10

Answer

10 -10

Exercise #9

Solve the following:

848= \frac{8}{-48}=

Step-by-Step Solution

Let's remember that we are dividing a positive number by a negative number, so the result will necessarily be a negative number.

We will divide both the numerator and the denominator by the highest number that both are divisible by.

In this case, that number is 8

We will divide the fraction as follows:

8:848:8=16=16 \frac{8:8}{-48:8}=\frac{1}{-6}=-\frac{1}{6}

Answer

16 -\frac{1}{6}

Exercise #10

Solve the following:

864864= \frac{-864}{864}=

Step-by-Step Solution

Let's remember that we are dividing a positive number by a negative number, so the result will necessarily be a negative number.

We will divide both the numerator and the denominator by the highest number that both are divisible by.

In this case, the number is -864

We will divide the fraction as follows:

864:864864:864=11=1 \frac{-864:-864}{864:-864}=\frac{1}{-1}=-1

Answer

1 -1

Exercise #11

Solve the following:

9648= \frac{-96}{48}=

Step-by-Step Solution

Let's remember that we are dividing a positive number by a negative number, so the result will necessarily be a negative number.

We will divide both the numerator and the denominator by the highest number that both are divisible by.

In this case, that number is 48

We will divide the fraction as follows:

96:4848:48=21=2 \frac{-96:48}{48:48}=\frac{-2}{1}=-2

Answer

2 -2

Exercise #12

Solve the following:

2000500= \frac{2000}{-500}=

Step-by-Step Solution

Let's remember that we are dividing a positive number by a negative number, so the result will necessarily be a negative number.

We will divide both the numerator and the denominator by the highest number that both are divisible by.

In this case, the number is -500

We will divide the fraction as follows:

2000:500500:500=41=4 \frac{2000:-500}{-500:-500}=\frac{-4}{1}=-4

Answer

4 -4

Exercise #13

Solve the following:

20010= \frac{200}{-10}=

Step-by-Step Solution

Let's remember that we are dividing a positive number by a negative number, so the result will necessarily be a negative number.

We will divide both the numerator and the denominator by the highest number that both are divisible by.

In this case, the number is -10

We will divide the fraction as follows:

200:1010:10=201=20 \frac{200:-10}{-10:-10}=\frac{-20}{1}=-20

Answer

20 -20

Exercise #14

Solve the following:

402= \frac{40}{-2}=

Step-by-Step Solution

Let's remember that we are dividing a positive number by a negative number, so the result will necessarily be a negative number.

We will divide both the numerator and the denominator by the highest number that both are divisible by.

In this case, the number is -2

We will divide the fraction as follows:

40:22:2=201=20 \frac{40:-2}{-2:-2}=\frac{-20}{1}=-20

Answer

20 -20

Exercise #15

Solve the following:

432846= \frac{432}{-846}=

Step-by-Step Solution

Let's remember that we are dividing a positive number by a negative number, so the result will necessarily be a negative number.

We will divide both the numerator and the denominator by the highest number that both are divisible by.

In this case, that number is 432

We will divide the fraction as follows:

432:432846:432=12=12 \frac{432:432}{-846:432}=\frac{1}{-2}=-\frac{1}{2}

Answer

12 -\frac{1}{2}

Exercise #16

Solve the following:

5000500= \frac{-5000}{500}=

Step-by-Step Solution

Let's remember that we are dividing a positive number by a negative number, so the result will necessarily be a negative number.

We will divide both the numerator and the denominator by the highest number that both are divisible by.

In this case, that number is 500

We will divide the fraction as follows:

5000:500500:500=101=10 \frac{-5000:500}{500:500}=\frac{-10}{1}=-10

Answer

10 -10

Exercise #17

Solve the following:

50010= \frac{-500}{10}=

Step-by-Step Solution

Let's remember that we are dividing a positive number by a negative number, so the result will necessarily be a negative number.

We will divide both the numerator and the denominator by the highest number that both are divisible by.

In this case, that number is 10

We will divide the fraction as follows:

500:1010:10=501=50 \frac{-500:10}{10:10}=\frac{-50}{1}=-50

Answer

50 -50