## Practice Test on Dividing Fractions

Divide the following fractions and reduce your answers to lowest terms. Convert all answers that are improper fractions to mixed fractions.

1.) $\frac{4}{5} \div \frac{2}{3}$.

2.) $\frac{2}{7} \div \frac{5}{21}$

3.) $8 \div \frac{4}{5}$

4.) $\frac{3}{5} \div 12$

5.) $15 \frac{2}{3}$

6.) $3 \frac{2}{5} \div \frac{3}{4}$ » Read more

## August 2013 POE and MISE Exam Results

To those who took the Penology Officer Examination and Meat Inspection and Safety Examinatoin on August 11, 2013, the official results are now available at the Official Civil Service Commission website.  The  links below point to the official list of POE and MISE exam results in PDF format.

Penology Officer Examination Results

MISE Examination Results

Congratulations to all passers!

## How to Subtract Fractions

We have already learned the three operations on fractions namely addition, multiplication, and division. In this post, we are going to learn the last elementary operation: subtraction. If you have mastered addition of fractions, this will not be a problem for you because the process is just the same. Let’s subtract fractions!

Example 1: $\displaystyle \frac{8}{15} - \frac{3}{15}$.

Solution

The given is a similar fraction (fraction whose denominators are the same), so just like in addition, we just perform the operation on the numerators. Therefore, we just have to subtract the numerator and copy the denominator. That is,  » Read more

## How to Divide Fractions

We have already discussed addition and multiplication of fractions and what we have left are subtraction and division. In this post, we learn how to divide fractions.

To divide fractions, we must get the reciprocal of the divisor. This is just the same as swapping the numerator and the denominator. For example, the reciprocal of $\frac{2}{3}$ is $\frac{3}{2}$. After getting the reciprocal, just multiply the fractions.

Example 1

$\displaystyle \frac{3}{5} \div \frac{2}{3}$  » Read more

## How to Convert Mixed Fractions to Improper Fractions

We have already learned how to convert improper fractions to mixed fractions.  In this post, we are going to learn how to convert mixed fractions to improper fractions.  In converting mixed fractions to improper fractions, the denominator stays as it is. You only have to calculate for the numerator.  To get the numerator of the improper fraction, multiply the denominator to the whole number and then add the numerator of the mixed fraction.

Let’s have three examples.

Example 1

Convert $6 \displaystyle \frac{2}{5}$ to improper fraction. » Read more

## Answers to the Multiplying Fractions Practice Test

In the previous post, we have learned how to multiply fractions. We have learned that it is Below are the solutions and answers to the Practice Test on Multiplying Fractions.  If you have forgotten the methods of calculation, you can read How to Multiply Fractions.

The methods shown in some of the solutions below is only one among the many. I have mentioned some tips, but I don’t want to fill the solution with short cuts because there are times that when you forget the shortcut, you are not able to solve the problem. My advice if you want to pass the Civil Service Examination for Numerical Literacy is to master the basics, practice a lot, and develop your own shortcuts. » Read more