What are fractions?

Fractions refer to the number of parts that equal the whole.

Suppose we have a cake divided into equal portions, the fraction comes to represent each of the portions into which we have cut the cake. Thus, if we have four equal portions, each of them represents a quarter of the pie. This is expressed numerically as follows: 141 \over 4.

The number 1 1 refers to the specific slice of the total pie set. We can look at it in the following way: we are talking about one slice and, therefore, we express it with a 1 1 . If we were talking about two slices, instead of 1 1 we would write 2 2 .

The number 4 4 refers to all equal portions of the pie. Since we have divided the pie into four equal portions, the number that should represent this division is 4 4 .

Cake visually divided

Practice Simple fractions

examples with solutions for simple fractions

Exercise #1

What is the marked part?

Video Solution

Step-by-Step Solution

We can see that there are three shaded parts out of six parts in total,

that is - 3/6

But this is not the final answer yet!

Let'snotice that this fraction can be reduced,

meaning, it is possible to divide both the numerator and the denominator by the same number,

so that the fraction does not lose its value. In this case, the number is 3.

3:3=1
6:3=2

And so we get 1/2, or one half.
And if we look at the original drawing, we can see that half of it is colored.

Answer

12 \frac{1}{2}

Exercise #2

What fraction results from dividing 8 by 16?

Video Solution

Step-by-Step Solution

Write the exercise:

8:16 8:16

Now write it in the form of a simple fraction, remembering that the numerator is above and the denominator is below:

816 \frac{8}{16}

Divide the numerator and denominator by the number that divides both of them, in this case the number is 8:

8:816:8=12 \frac{8:8}{16:8}=\frac{1}{2}

Answer

12 \frac{1}{2}

Exercise #3

My numerator is 4 and my denominator is 8.

Which am I?

Video Solution

Step-by-Step Solution

Recall that the numerator is the top number, and the denominator is the bottom number.

Now let's represent it accordingly:

48 \frac{4}{8}

Let's divide the numerator and denominator by 4:

4:48:4=12 \frac{4:4}{8:4}=\frac{1}{2}

Answer

12 \frac{1}{2}

Exercise #4

Write the fraction shown in the drawing, in numbers:

Video Solution

Answer

12 \frac{1}{2}

Exercise #5

Write the fraction shown in the drawing, in numbers:

Video Solution

Answer

23 \frac{2}{3}

examples with solutions for simple fractions

Exercise #1

Write the fraction shown in the drawing, in numbers:

Video Solution

Answer

13 \frac{1}{3}

Exercise #2

What is the marked part?

Video Solution

Answer

46 \frac{4}{6}

Exercise #3

What is the marked part?

Video Solution

Answer

47 \frac{4}{7}

Exercise #4

What is the marked part?

Video Solution

Answer

16 \frac{1}{6}

Exercise #5

What is the marked part?

Video Solution

Answer

56 \frac{5}{6}

examples with solutions for simple fractions

Exercise #1

What is the marked part?

Video Solution

Answer

Answers a + b

Exercise #2

What is the marked part?

Video Solution

Answer

37 \frac{3}{7}

Exercise #3

What is the marked part?

Video Solution

Answer

410 \frac{4}{10}

Exercise #4

What is the marked part?

Video Solution

Answer

Answers b and c

Exercise #5

What is the marked part?

Video Solution

Answer

810 \frac{8}{10}