Practice Test on Multiplying Fractions

In the previous post, we have learned how to multiply fractions. We have learned that it is the easiest operation on fractions. To multiply fraction, we just have to multiply the numerators and then the denominators. That is a fraction $\frac{a}{b}$ multiplied by $\frac{c}{d}$ is equal to $\frac{a \times c}{b \times d}$.

Practice Test on Multiplying Fractions

Below are the exercises on multiplying fractions.  Multiply the fractions and reduce your answers to the lowest terms. If the answer is an improper fraction, convert the improper fraction to mixed fraction.

1. $\displaystyle \frac{2}{3} \times \frac{4}{5}$ » Read more

How to Multiply Fractions

Among the four fundamental operations on fractions, multiplication is the easiest. It is just simple. Multiply the numerator and then the denominator. Of course, if the given fractions can be converted to lowest terms, the easier the multiplication will be.

In this post, we are going to learn how to multiply fractions. You must master this operation, as well as other fundamental operations on fractions because you will use them in higher mathematics and solving word problems. Below are some examples.

Example 1

$\displaystyle \frac{4}{5} \times \frac{1}{3}$ » Read more

Answers to Practice Test on Converting Improper Fraction to Mixed Number

This is the complete solutions and answers to the Practice Test on Converting Improper Fraction to Mixed Number. As illustrated in the image below, the quotient in the division becomes the whole number in the mixed fraction, the remainder in the division becomes the numerator of the fraction part of mixed fraction, and the denominator from the improper fraction becomes  the denominator of the fractional part of the mixed fraction.

In the solutions below, all answers were also reduced to lowest terms.

Practice Test on Converting Improper Fractions to Mixed Number

In the previous post, we have learned how to convert improper fractions to mixed number . Now, try the following exercises. All the answers must also be reduced to lowest terms. Good luck.

1.) 22/7

2.) 81/6

3.) 55/10

4.) 76/32 » Read more

How to Convert Improper Fractions to Mixed Forms

In Introduction to Functions, we have learned about proper and improper fractions. A fraction whose numerator (the number above the fraction bar) is less than its denominator (the number below the fraction bar) is called a proper fraction. Therefore, $\frac{1}{3}$, $\frac{2}{5}$ and $\frac{11}{20}$ are proper fractions.

On the other hand,  a fraction whose numerator is greater than its denominator is called an improper fraction. Therefore the fractions $\frac{21}{7}$, $\frac{8}{3}$ and $\frac{67}{5}$ are improper fractions.

In the Civil Service Examinations, some fractions need to be converted from one form to another. For example, in answering a number series test, you might need to convert an improper fraction to mixed form in order to compare it to other fractions in mixed form. In this post, we learn this method: how to convert an improper fraction to mixed form.

In converting improper fractions to mixed form you will just have to divide the fraction, find its quotient and its remainder. Remember that the fraction $\frac{34}{5}$ also means 34 divided by 5. » Read more

Solution to the Exercises on Reducing Fractions to Lowest Terms

Below are the complete solutions and answers to the exercises on reducing fractions to lowest terms. I will not give any tips or methods of shortcuts on doing this because teaching you shortcuts will give you problems in case you forget them. The best thing that you can do is to solve as many related problems as you can and develop shortcuts that work for you. Each person has his own preference in solving procedural problems such as these, so it is important that you discover what’s best for you.

For converting improper fractions to mixed form, I will discuss it in a separate post. Try to see the solutions below and see if you can use these solutions to develop your own method. Honestly, the three examples below on converting improper fractions to mixed form should be enough to teach you how to do it yourself. 🙂 » Read more

Exercises on Converting Fractions to Lowest Terms

In the previous post, we learned how to convert fractions to lowest terms. In this post, I have created 15 exercises for you to practice.

Convert the following fractions to lowest terms. In case the fraction is improper, convert it to mixed form. Be sure that the fraction part is in lowest terms.

1. $\displaystyle \frac{12}{15}$

2. $\displaystyle \frac{18}{24}$

3. $\displaystyle \frac{21}{49}$ » Read more

How to Convert Fractions to Lowest Terms

In the Civil Service Examination and in many mathematics examinations, results that are fractions are usually required to be converted to their lowest terms.  The numerator and the denominator of a fraction in lowest terms cannot be divided by any  similar integer. Knowledge of divisibility rules can be helpful in this process.

Example 1: Convert $\frac{6}{9}$ to lowest terms.

In the first example, we can see that the numerator and the denominator are both divisible by 3. Dividing both the numerator and the denominator by 3 gives us 2/3.

$\displaystyle \frac{6 \div 3}{9 \div 3} = \frac{2}{3}$

Note that dividing both the numerator and the denominator by the same integer does not change the value of the fraction. » Read more