## How to Get the Greatest Common Factor of Numbers

A tutorial on how to get the greatest common factor of two numbers. In this video, the concept of factors was briefly explained. A simple application of greatest common factor which is converting fractions to lowest terms was also illustrated.

Errata: In example 2, 9 is also a factor of 45. In example 3, 2 is also a factor of 42. Sorry, I just thought of the given while doing the video.

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## 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. 🙂 Continue Reading

## 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. $\displaystyle \frac{21}{49}$ Continue Reading

## 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. Continue Reading