PCSR Civil Service Exam Review Guide 5

After learning the operations on fractions in Review Guide 3 and Review Guide 4, let us turn our attentionto operations on decimals this week. In this tutorial, we are going to learn addition, subtraction, multiplication, and division. Here is your review guide from the week.

PART I: MATHEMATICS

A. Operations on Decimals

A.1 Videos

Lesson 1: How to Add Numbers with Decimals Part 1
Lesson 2: How to Add Numbers with Decimals Part 2
Lesson 3: How to Subtract Numbers with Decimals Part 1
Lesson 4: How to Subtract Numbers with Decimals Part 2
Lesson 5: How to Multiply Numbers with Decimals Part 1
Lesson 6: How to Multiply Numbers with Decimals Part 2
Lesson 7: How to Divide Numbers with Decimals Part 1
Lesson 8: How to Divide Numbers with Decimals Part 2
Lesson 9: How to Divide Numbers with Decimals Part 3
Lesson 10: How to Divide Numbers with Decimals Part 4
Lesson 11: How to Divide Numbers with Decimals Part 5

A.2 More videos

Lesson 1: How to Add Numbers with Decimals
Lesson 2: How to Subtract Numbers with Decimals
Lesson 3: How to Multiply Numbers with Decimals
Lesson 4: How to Divide Numbers with Decimals

A.3 Articles

Lesson 1: How to Add Numbers with Decimals
Lesson 2: How to Subtract Numbers with Decimals
Lesson 3: How to Multiply Numbers with Decimals
Lesson 4: How to Divide Numbers with Decimals

PART II: ENGLISH

A. Vocabulary

Civil Service Exam Vocabulary Review Part 5
Tip: Try to memorize the words and use it in your own words.

B. Grammar – The Perfect Progressive Tenses

Lesson 1: Present Perfect Progressive Tense
Lesson 2: Past Perfect Progressive
Lesson 3: Future Perfect Progressive

Enjoy!

Practice Quiz on Converting Fraction to Percent

After learning converting fraction to percent, let’s practice by answering the following questions. There are different methods in converting fraction to percent. One method is to convert the fraction to decimal first, then multiply by the result by 100. However, in the solutions below, we will mostly use equivalent fractions. That is, since we want a% means a/100, we will convert the fraction to its equivalent fraction with denominator 100. We can do this by multiplying the numerator and the denominator  by the same number.

Practice Quiz: Converting Fraction to Percent

1.) 3/4

2.) 5/8

3) 9/10

4.) 1/4

5.) 7/10

6.) 3/5

7.) 3/8

8.) 7/20

9.) 1/5

10.) 7/50

Solutions and Answers

1). We can make 3/4 as 100 by multiplying the denominator by 25. In effect,

\displaystyle \frac{3}{4} = \frac{3 \times 25}{4 \times 25} = \frac{75}{100}.

 Therefore, 3/4 is equal to 75%.

2.) What number should we multiply to 8 to get 100? That is, 100/8 or 12.5.

\displaystyle \frac{5}{8} = \frac{5 \times 12.5}{8 \times 12.5} = \frac{62.5}{100}.

Therefore, 5/8 is equal to 62.5%.

3.) This is a bit easy. What will you multiply to 10 to get 100? Of course, it’s 10.  So,

\displaystyle \frac{9}{10} = \frac{9 \times 10}{10 \times 10} = \frac{90}{100}.

 Therefore, 9/10 is equal to 90%.

4.) What should you multiply by 4 to get 100? It’s 25.

\displaystyle \frac{1}{4} = \frac{1 \times 25}{4 \times 25} = \frac{25}{100}

 So, 1/4 is equal to 25%.

5.) To make the denominator 100, we should multiply by 10 (similar to number 3). So,

\displaystyle \frac{7}{10} = \frac{7 \times 10}{10 \times 10} = \frac{70}{100}.

So, 7/10 is equal to 70%.

6.) What should we multiply by 5 to get 100? It’s 20. So,

\displaystyle \frac{3}{5} = \frac{3 \times 20}{5 \times 20} = \frac{60}{100}

So, 3/5 is equal to 60%.

7.) As discussed in number 2, we should multiply 8 by 12.5 in order to get 100. Therefore,

\displaystyle \frac{3}{8} = \frac{3 \times 12.5}{8 \times 12.5} = \frac{37.5}{100}.

So, 3/8 is equal to 37.5%.

8.) What should be multiplied by 20 to get 100? It’s 5. So,

\displaystyle \frac{7}{20} = \frac{7 \times 5}{20 \times 5} = \frac{35}{100}.

So, 7/20 is equal to 35%.

9.) What should be multiplied by 5 to get 100? It’s 20. So,

\displaystyle \frac{1}{5} = \frac{1 \times 20}{5 \times 20} = \frac{20}{100}

Therefore, 1/5 is equal to 20%.

10. What should be multiplied by 50 to get 100? It’s 2. So,

\displaystyle \frac{7}{50} = \frac{7 \times 2}{50 \times 2} = \frac{14}{100}.

So, 7/50 is equal to 14%.

How to Convert Fraction to Percent Part 1

In the previous post, we have learned how to convert percent to fraction. In these series of posts, we learn the opposite: how to convert fraction to percent. I am going to teach you three methods, the last one would be used if you forgot the other two methods, or if the first two methods would not work. Please be reminded though to understand the concept (please do not just memorize).

The first method can be used for fractions whose denominators can be easily related to 100 by multiplication or division. Recall that from Converting Percent to Fraction, I have mentioned that when we say percent it means “per hundred.” In effect, n% can be represented by n/100. Therefore, if you have a fraction and you can turn it into n/100 (by multiplication/division), then you have turned it into percent. » Read more

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