Examples with solutions for Fractions as Divisors: Reducing the fraction

Exercise #1

Solve the following:

105= \frac{10}{5}=

Step-by-Step Solution

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

In this case, the number is 5.

Then we will divide the fraction as follows:

10:55:5=21=2 \frac{10:5}{5:5}=\frac{2}{1}=2

Answer

2 2

Exercise #2

Solve the following:

1313= \frac{13}{13}=

Step-by-Step Solution

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

In this case, the number is 13.

Then we will divide the fraction as follows:

13:1313:13=11=1 \frac{13:13}{13:13}=\frac{1}{1}=1

Answer

1 1

Exercise #3

Solve the following:

218= \frac{2}{18}=

Step-by-Step Solution

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

In this case, the number is 2

Then we will divide the fraction as follows:

2:218:2=19 \frac{2:2}{18:2}=\frac{1}{9}

Answer

19 \frac{1}{9}

Exercise #4

Solve the following:

2929= \frac{29}{29}=

Step-by-Step Solution

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

In this case, the number is 29.

Then we will divide the fraction as follows:

29:2929:29=11=1 \frac{29:29}{29:29}=\frac{1}{1}=1

Answer

1 1

Exercise #5

Solve the following:

34= \frac{3}{4}=

Step-by-Step Solution

We will divide the numerator and 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 will remain as it is.

Answer

34 \frac{3}{4}

Exercise #6

Solve the following:

567= \frac{56}{7}=

Step-by-Step Solution

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

In this case, the number is 7.

Then 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 #7

Solve the following:

648= \frac{64}{8}=

Step-by-Step Solution

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

In this case, the number is 8

We will divide the fraction as follows:

64:88:8=81=8 \frac{64:8}{8:8}=\frac{8}{1}=8

Answer

8 8

Exercise #8

Solve the following:

422= \frac{42}{2}=

Step-by-Step Solution

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

In this case, the number is 2.

Then will divide the fraction as follows:

42:22:2=211=21 \frac{42:2}{2:2}=\frac{21}{1}=21

Answer

21 21

Exercise #9

Solve the following:

9911= \frac{99}{11}=

Step-by-Step Solution

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

In this case, the number is 11.

We will divide the fraction as follows:

99:1111:11=91=9 \frac{99:11}{11:11}=\frac{9}{1}=9

Answer

9 9

Exercise #10

Solve the following:

20040= \frac{200}{40}=

Step-by-Step Solution

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

In this case, the number is 40.

Then we will divide the fraction as follows:

200:4040:40=51=5 \frac{200:40}{40:40}=\frac{5}{1}=5

Answer

5 5

Exercise #11

Solve the following:

432864= \frac{432}{864}=

Step-by-Step Solution

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

In this case, the number is 432.

Then we will divide the fraction as follows:

432:432864:432=12 \frac{432:432}{864:432}=\frac{1}{2}

Answer

12 \frac{1}{2}

Exercise #12

Solve the following:

88011= \frac{880}{11}=

Step-by-Step Solution

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

In this case, the number is 11

We will divide the fraction as follows:

880:1111:11=801=80 \frac{880:11}{11:11}=\frac{80}{1}=80

Answer

80 80

Exercise #13

Solve the following:

38.838.8= \frac{38.8}{38.8}=

Step-by-Step Solution

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

In this case, the number is 38.8.

Then, we will divide the fraction as follows:

38.8:38.838.8:38.8=11=1 \frac{38.8:38.8}{38.8:38.8}=\frac{1}{1}=1

Answer

1 1