Remainder of a fraction

In a mixed number of a whole number and a fraction -
the fraction is the remainder.

In a fraction greater than 11 where the numerator is greater than the denominator -
The remainder consists of a denominator and numerator, which is the part left after finding how many whole numbers are in the fraction.

Practice Fractions as Divisors

Examples with solutions for Fractions as Divisors

Exercise #1

What fraction results from dividing 9 by 13?

Video Solution

Step-by-Step Solution

First, let's write out the division exercise:

9:13 9:13

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

913 \frac{9}{13}

Answer

913 \frac{9}{13}

Exercise #2

What fraction results from dividing 2 by 3?

Video Solution

Step-by-Step Solution

First, let's write the division exercise:

2:3 2:3

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

23 \frac{2}{3}

Answer

23 \frac{2}{3}

Exercise #3

What fraction results from dividing 2 by 5?

Video Solution

Step-by-Step Solution

Firstly, let's write out the division exercise:

2:5 2:5

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

25 \frac{2}{5}

Answer

25 \frac{2}{5}

Exercise #4

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 #5

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 #6

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 #7

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 #8

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 #9

What fraction results from dividing 5 by 9?

Video Solution

Step-by-Step Solution

Let's begin by writing the division exercise:

5:9 5:9

We can now proceed to write it as a simple fraction, remembering that the numerator is on top and the denominator is on the bottom:

59 \frac{5}{9}

Answer

59 \frac{5}{9}

Exercise #10

My numerator is 2 and my denominator is 9.

Which fraction am I?

Video Solution

Step-by-Step Solution

Let's remember that the numerator is the number at the top of the fraction, whilst the denominator is the number at the bottom of the fraction.

If we arrange the given values accordingly we should obtain the following:

29 \frac{2}{9}

Answer

29 \frac{2}{9}

Exercise #11

My numerator is 3 and my denominator is 8.

Which fraction am I?

Video Solution

Step-by-Step Solution

Let's remember that the numerator is the number at the top of the fraction , whilst the denominator is the number at the bottom of the fraction.

If we insert the given values accordingly we should obtain the following:

38 \frac{3}{8}

Answer

38 \frac{3}{8}

Exercise #12

What fraction results from dividing 8 by 13?

Video Solution

Step-by-Step Solution

Let's write out the division exercise:

8:13 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:

813 \frac{8}{13}

Answer

813 \frac{8}{13}

Exercise #13

Without calculating, determine whether the quotient in the following division is less than 1:

11:8 11:8

Video Solution

Step-by-Step Solution

Note that the numerator is smaller than the denominator:

11 > 8

As a result, it can be written like this:

\frac{11}{8} > 1

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

Answer

Not less than 1

Exercise #14

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

5:6= 5:6=

Video Solution

Step-by-Step Solution

Note that the numerator is smaller than the denominator:

5 < 6

As a result, we can write it thusly:

\frac{5}{6} < 1

Therefore, the quotient in the division exercise is indeed less than 1.

Answer

Less than 1

Exercise #15

Without calculating, determine whether the quotient in the division exercise is less than 1:

7:11 7:11

Video Solution

Step-by-Step Solution

Note that the numerator is smaller than the denominator:

7 < 11

As a result, we can write it thusly:

\frac{7}{11}<1

Therefore, the quotient in the division exercise is indeed less than 1.

Answer

Less than 1