Practice Quiz on Converting Percent to Fraction

We have already learned how to convert percent to fraction. This post allows you to practice what you have already learned.

Practice Quiz: Converting Percent to Fraction

Convert the following percent to their equivalent fractions

1.) 25%

2.) 80%

3.) 2.5%

4.) 20%

5.) 5%   » Read more

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%.

Practice Quiz on Converting Decimals to Fractions

We have already learned how to convert decimals to fractions. The idea as we have discussed in the preceding link is to find the place value of the rightmost significant digit. The decimals whose place values are tenths, hundredths, thousandths and so on are multiplied by 1/10, 1/100, 1/1000 and so on respectively. After performing multiplication, the fraction must be reduced to lowest terms.

Practice Quiz: Converting Decimals to Fractions

Convert the following decimals to fractions.

1. ) 0.4

2.) 0.8

3.) 0.18

4.) 0.25

5.) 0.75

6.) 0.35

7.) 0.125

8.) 0.9

9.) 0.05

10.) 0.016

Complete Solutions and Answers

1.) 0.4 is the same as 4 tenths or 4 \times \frac{1}{10} = \frac{4}{10}.

We reduce to lowest terms by dividing both the numerator and denominator by 2. That is,

\displaystyle \frac{4 \div 2}{10 \div 2} = \frac{2}{5}.

Answer: \frac{2}{5}

2.) 0.8 is the same as 8 tenths or  8 \times \frac{1}{10} = \frac{8}{10}.

We reduce to lowest terms by dividing both the numerator and denominator by 2. That is,

\displaystyle \frac{8 \div 2}{10 \div 2} = \frac{4}{5}.

Answer: \frac{4}{5}

3.) 0.18 is the same as 18 hundredths or  18 \times \frac{1}{100} = \frac{18}{100}.

We reduce to lowest terms by dividing both the numerator and denominator by 2. That is,

\displaystyle \frac{18 \div 2}{100 \div 2} = \frac{9}{50}.

Answer: \frac{9}{50}

4.) 0.25 is the same as 25 hundredths or  25 \times \frac{1}{100} = \frac{25}{100}.

We reduce to lowest terms by dividing both the numerator and denominator by 25. That is,

\displaystyle \frac{25 \div 25}{100 \div 25} = \frac{1}{4}.

Answer: \frac{1}{4}

5.) 0.75 is the same as 75 hundredths or  75 \times \frac{1}{100} = \frac{75}{100}

We reduce to lowest terms by dividing both the numerator and denominator by 25. That is,

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

Answer: \frac{3}{4}

6.) 0.35 is the same as 35 hundredths or  75 \times \frac{1}{100} = \frac{35}{100}

We reduce to lowest terms by dividing both the numerator and denominator by 5. That is,

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

Answer: \frac{7}{20}

7.) 0.125 is the same as 125 thousandths or  125 \times \frac{1}{1000} = \frac{125}{1000}

We reduce to lowest terms by dividing both the numerator and denominator by 125. That is,

\displaystyle \frac{125 \div 125}{1000 \div 125} = \frac{1}{8}.

Answer: \frac{1}{8}

8.) 0.9 is the same as 9 tenths or 9 \times \frac{1}{10} = \frac{9}{10}.

Answer: \frac{9}{10}

9.) 0.05 is the same as 5 hundredths or  5 \times \frac{1}{100} = \frac{5}{100}

We reduce to lowest terms by dividing both the numerator and denominator by 5. That is,

\displaystyle \frac{5 \div 5}{100 \div 5} = \frac{1}{20}.

Answer: \frac{1}{20}

10.) 0.016 is the same as 16 thousandths or  16 \times \frac{1}{1000} = \frac{16}{1000}

We reduce to lowest terms by dividing both the numerator and denominator by 8. That is,

\displaystyle \frac{16 \div 8}{1000 \div 8} = \frac{2}{125}.

Answer: \frac{2}{125}

Practice Quiz on Converting Fractions to Decimals

In the previous post, we have learned how to convert fractions to decimals. Now, let’s see what you have learned in converting fractions to decimals by answering the following quiz.

Convert the following fractions to decimals.

1.) 1/5

2.) 3/4

3.) 2/3

4.) 3/8

5.) 5/6

6.) 7/10

7.) 7/15

8.) 5/8

9.) 5/7

10.) 9/20

11.) 8 \frac{3}{4}

12.) 12 \frac{7}{9}

Answer key

1.) 0.2

2.) 0.75

3.) 0.666… (repeating never ending 6’s) or 0.67 if rounded to nearest hundredths

4.) 0.375

5.) 0.8333… (repeating never ending 3’s)

6.) 0.7

7.) 0.4666 (repeating never ending 6’s)

8.) 0.625

9.) 0.714285714285 (repeating never ending 714285’s)

10.) 0.45

11.) 8.75

12) 12.777… (repeating never ending 7’s)

Perfect Tenses: Summary and Quiz

Written by Leny Ortega

In the previous posts, I have summarized the simple tenses. In this post, we summarize the perfect tenses. Review exercises are provided below to assess your mastery of the lesson.

Perfect tenses have three types: Present perfect, Past perfect and future perfect.

The present perfect tense denotes actions that began in the past and continues up to the present time. It is also used to suggest events that happened at unspecific time before now. Has (singular) and have (plural) + past participle of the given verb are used to form the present perfect tense.

The past perfect tense of the verb is formed with Had (for singular and plural noun)+ past participle of the verb. This tense of the verb is used to express an action that happened before another past action occurred. Always remember that the second past action must use the simple past tense of the verb.

Similarly, for the future perfect tense two actions/events are required here. But, these actions are intended to be completed in the future. Expressions such as by tomorrow, by next year, ten years from now, etc. are commonly used plus the future perfect tense (will have + past participle). This is to suggest that the action is completed before a certain time.

Practice Quiz

Choose the correct form of the perfect tense for each of the following sentences.

1.) Ebola virus (has, have) spread in countries like Africa.

2.) The reinforcement team (arrived, had arrived) after the forty-four Special Action force members (has died, had died) in the encounter.

3.) The country (will have experienced, will experience) drought before the summer comes next year.

5.) The government of China (expressed, has expressed) its desire to end the territorial row with the Philippines.

6) Melinda (will have become, had become) a lawyer before her mother retires.
World Health Organization (WHO) (warned, had warned) the public about the MERS-COV before it became widespread.

7.) The government (ordered, has ordered) recall of a certain brand of apples in the market because of its toxic contamination.

8.) Food and Drug Administration (has advised, have advised) the public against the proliferation of untested diet pills in the market.

9.) The US government (has tested, had tested) all its local produce before it reached the market.

10.) Two years from now, Melinda (will have been, will become) a licensed physical therapist.

Answer key

  1. Has
  2. Arrived, had died
  3. Will have experienced
  4. Has experienced
  5. Will have become
  6. Had warned
  7. Has ordered
  8. Has advised
  9. Had tested
  10. Will have been

Simple Tenses: Summary and Quiz

Written by Leny Ortega
Previously, we have discussed simple and compound tenses. To recapitulate, simple tenses consist of present tense, past tense and future tense. The simple present tense is formed using the base form of the verb such as talk, walk, etc. (for plural noun or pronoun) or the s-form of the verb (talks, walks, etc) for singular noun or pronoun. Other forms of the verbs like the “be” verb such as is/ are; auxiliary verbs like has / have, do / does can be used. These forms of the verb are used to express actions that are habitually done, to state a fact or general truth.
The past tense is formed with the following verbs like was (singular) / were (plural), had and did (both for singular and plural). For regular verbs you just add –ed (talked, walked, etc) or a change in spelling is needed for irregular verbs (eat = ate, write =wrote, etc). This tense of the verb is used for actions that happened or completed in a definite past time. Time expressions like yesterday, last month, few days ago, etc. are used.
For actions that are intended to be completed or done in a particular time in the future, Future tense of the verb is used. Here, expressions like tomorrow, next year, next summer, etc. will signify futurity. Though, will /shall + base form of the verb can be used most of the time will + base form of the verb is preferred by most people both in oral / written communication.
To evaluate mastery of these simple tenses, exercises below are designed for this purpose.
Choose the appropriate verb in the following sentences. Check your answers below.
  1. Citizens in a democratic country (has, have) to select a leader through election process.
  2. Pump prices (go, goes) up rapidly depending on the scarcity of supply.
  3. Terrorists groups (behead, beheaded) foreign journalists last year.
  4. Transport group (express, expresses) fare hike if oil prices (will continue, continues) to rise next week.
  5. Overseas workers (is expected, are expected) to increase in the coming years.
  6. Today’s youth (know, knows) the difference between real friendships from mere acquaintances.
  7. Typhoon Hayan (was, were) the most destructive typhoon last year.
  8. Merchandises from China (will continue, continue) to flock the global market.
  9. Persona non-grata (is, are) declared whenever a person / an individual utters or behaves inappropriately in a particular place or country.
  10. Global warming (become, becomes) an alarming problem worldwide.
Answer Key
  1. Have
  2. Go
  3. Beheaded
  4. Expresses
  5. Are expected
  6. Knows
  7. Was
  8. Will continue
  9. Is
  10. Becomes

Practice Quiz on Dividing Decimals

In the previous post, I have posted a quiz on multiplying decimals, let’s see what you know so far on dividing decimals.

If you have forgotten how to divide decimals, kindly read How to Divide Fractions of the Operations on Decimals Tutorial Series.

Practice Quiz on Dividing Decimals

Solve each problem and click the + sign to check your answer.

1. \displaystyle \frac{10}{0.5}

Answer
20

2. \displaystyle \frac{0.8}{0.4}

Answer
2
  » Read more

Practice Quiz on Multiplying Decimals

After taking a quiz on subtracting decimals, let’s see what you know so far on multiplying decimals.

If you forget the algorithm on how to multiply decimals, please read How to Multiply Decimals of the Operations on Decimals Tutorial Series.

Practice Quiz on Multiplying Decimals

Solve each problem and click the + sign to check your answer. No calculator please. 🙂

1. 10 \times 0.2

Answer
2

2. 0.4 \times 2

Answer
0.8
  » Read more

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