Examples with solutions for Fractions as Divisors: Reducing the fraction

Exercise #1

Solve the following expression:

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 expression:

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 expression:

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 expression:

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 expression:

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 #6

Solve the following expression:

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 #7

Solve the following problem:

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 #8

Solve the following expression:

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 expression:

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

42= \frac{4}{2}=

Video Solution

Step-by-Step Solution

To solve the problem of finding the value of 42\frac{4}{2}, we will use simple division.

Here are the steps we will follow:

  • Step 1: Identify the numerator and denominator. The numerator is 4, and the denominator is 2.
  • Step 2: Perform the division as indicated by the fraction. We need to divide the numerator by the denominator.

Now, let's perform the calculation:

Step 1: We have 42\frac{4}{2}, which means we need to calculate 4÷24 \div 2.

Step 2: Dividing 4 by 2 gives us 2, as: 4÷2=24 \div 2 = 2.

Therefore, the solution to the problem is 22.

Answer

2 2

Exercise #11

Simplify the following fraction:

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 expression:

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 #13

Solve the following expression:

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 #14

18:3= 18:3=

Video Solution

Step-by-Step Solution

Let's write the expression in the following form:

183 \frac{18}{3}

We'll divide both the numerator and denominator by 3 and get:

61=6 \frac{6}{1}=6

Answer

6 6

Exercise #15

Solve the following expression:

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