Simple Fractions - Examples, Exercises and Solutions

Without calculating, determine whether the quotient in the division exercise is less than 1 or not:

$5:6=$

Note that the numerator is smaller than the denominator:

5 < 6

As a result, we can claim that:

\frac{5}{6} < 1

Therefore, the quotient in the division problem is indeed less than 1

Yes

Without calculating, determine whether the quotient in the division exercise is less than 1 or not:

$7:11$

Note that the numerator is smaller than the denominator:

7 < 11

As a result, we can claim that:

\frac{7}{11}<1

Therefore, the quotient in the division problem is indeed less than 1

Yes

Without calculating, determine whether the quotient in the division exercise is less than 1 or not:

$1:2=$

Note that the numerator is smaller than the denominator:

1 < 2

As a result, we can claim that:

\frac{1}{2}<1

Therefore, the fraction in the division problem is indeed less than 1

Yes

Without calculating, determine whether the quotient in the following division is less than 1 or not:

$11:8$

Note that the numerator is smaller than the denominator:

11 > 8

As a result, we can claim that:

\frac{11}{8} > 1

Therefore, the quotient in the division problem is not less than 1

No.

Solve the following:

$\frac{29}{29}=$

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

In this case, the number is 29

We will divide the fraction as follows:

$\frac{29:29}{29:29}=\frac{1}{1}=1$

$1$

Solve the following:

$\frac{13}{13}=$

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

In this case, the number is 13

We will divide the fraction as follows:

$\frac{13:13}{13:13}=\frac{1}{1}=1$

$1$

What fraction results from dividing 8 by 13?

Let's write the division exercise:

$8:13$

Now let's write it as a simple fraction, remembering that the numerator is on top and the denominator is on the bottom:

$\frac{8}{13}$

$\frac{8}{13}$

Solve the following:

$\frac{2}{18}=$

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

In this case, the number is 2

We will divide the fraction as follows:

$\frac{2:2}{18:2}=\frac{1}{9}$

$\frac{1}{9}$

My numerator is 6 and my denominator is 7.

Which am I?

Remember that the numerator of the fraction is the top half, whilst the denominator of the fraction is the bottom half.

If we position them accordingly we should obtain the following:

$\frac{6}{7}$

$\frac{6}{7}$

What is the marked part?

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.

$\frac{1}{2}$

Solve the following:

$\frac{10}{5}=$

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

In this case, the number is 5

We will divide the fraction as follows:

$\frac{10:5}{5:5}=\frac{2}{1}=2$

$2$

My numerator is 3 and my denominator is 8.

Which am I?

Let's remember that the numerator of the fraction is on top, while the denominator of the fraction is on the bottom.

Now we'll place them accordingly and get:

$\frac{3}{8}$

$\frac{3}{8}$

Solve the following:

$\frac{64}{8}=$

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:

$\frac{64:8}{8:8}=\frac{8}{1}=8$

$8$

Solve the following:

$\frac{56}{7}=$

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

In this case, the number is 7

We will divide the fraction as follows:

$\frac{56:7}{7:7}=\frac{8}{1}=8$

$8$

What fraction results from dividing 5 by 9?

Let's write the division exercise:

$5:9$

Now let's write it as a simple fraction, remembering that the numerator is on top and the denominator is on the bottom:

$\frac{5}{9}$

$\frac{5}{9}$