# Decimal, Percent and Fractions Practice Questions

- Posted by Brian Stocker MA
- Date March 27, 2014
- Comments 12 comments

### Basic Math Practice

Basic math questions similar to those found on most high school exit or proficiency exam, nurse entrance tests

### Practice Questions

**1. 8 is what percent of 40?**

a. 10%

b. 15%

c. 20%

d. 25%

**2. 9 is what percent of 36?**

a. 10%

b. 15%

c. 20%

d. 25%

**3. Three tenths of 90 equals:**

a. 18

b. 45

c. 27

d. 36

**4. .4% of 36 equals:**

a. 1.44

b. .144

c. 14.4

d. 144

**5. The ratio of 8:5 = (?)%**

a. 75%

b. 150%

c. 175%

d. 160%

**6. 3/5 = (?)% x 5/8**

a. 75%

b. 100%

c. 78%

d. 96%

**7. Express 2/5 as a decimal.**

a. .33

b. .3

c. .4

d. .5

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**8. Express .56 as percent.**

a. 56%

b. .56%

c. 5.6%

d. .056%

**9. Express 18/6 as a percentage.**

a. 300%

b. 30%

c. 150%

d. 3%

**10. Express 4/20 as a percentage.**

a. 25%

b. 20%

c. 15%

d. 40%

**11. 7.5/30% = ?**

a. 30

b. 35

c. 25

d. 20

**12. Express .061 as percent.**

a. .61%

b. 6.1%

c. 61%

d. .061%

**13. Express the ratio of 7:25 as percent.**

a. 20%

b. 22%

c. 25%

d. 28%

**14. Express 7/16 as percent.**

a. 43.75%

b. 41.25%

c. 42.5%

d. 45%

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### Answer Key

**1. C.** Finding the percentage of one number and another.

**2. D.** Finding the percentage of one number and another.

**3. C**. Determining percent from a whole number.

**4. B**. Determining the fractional percentage of a number.

**5. D**. Determining the percentage of a ratio statement.

The ratio of 8:5 must be converted to percent, or x/100, so

8/5 = x/100 – 800 = 5x – x = 160

**6. D**. Percentage of a fraction and another fraction.

3/5 = x/100 * 5/8

3/5 = 5x/800

25x = 2400

x = 96

**7. C.** Converting common fraction to a decimal fraction.

**8. A**. Converting decimal fraction to a percentage.

**9. A**. Converting fraction to percent.

**10. B**. Converting fraction to percent.

**11. C**. Dividing a decimal fraction by a percentage.

**12. B**. Converting decimal fractions to percentages.

**13. D**. Converting a ratio to a percentage.

Convert the ration 7:25 to percent, or x/100 – so

7/25 = x/100 + 700 = 25x = x = 28%

**14. A**. Converting a common fraction to a percentage.

### Most Common Basic Math Mistakes

- , such as misreading a problem, simple arithmetic mistakes, or other careless errors
- Not showing all of the steps. This makes it difficult for the teacher to understand how you got the answer.
- Not checking your work or not reviewing their test before turning it in. Never leave the test room early!
- Not understanding the problem and solving it with an inappropriate method.
- Not understanding of basic math concepts and operations, such as fractions, decimals, and basic algebra.
- Not paying attention to the units of measure.
- Not understanding basic terminology, such as “factor,” “product,” and “quotient.”
- Not paying attention to the sign of the answer or confusing the sign.
- Not using the correct formula or equation for the problem.

### Most Common Fraction Mistakes on a Test

**1. Not simplifying fractions first. ** Always simplify fractions to the simples form before adding, subtracting or other operations.

**2. Not understanding common denominators.**

To add or subtract fractions, they must have the same denominator. For example, to add 1/2 and 3/4, a common denominator is needed. The common denominator 4, because 4 is a multiple of both 2 and 4.

So, you would convert 1/2 to 2/4 and add it to 3/4 to get 2/4 + 3/4 = 5/4

**3. Errors with mixed numbers and converting to improper fractions or vice versa.**

Referring to the problem above, 5/4 is an improper fraction, since 5 (the numerator) is larger than 4 (the denominator). This can be converted to a mixed number – 5/4 = 4/4 + 1/4, and we know 4/4 = 1

so – 1 + 1/4 = 1 1/4.

**4. Errors with equivalent fractions and reducing to the simplest form.**

Here is question – Does 2/4 = 1/2 ? YES! we can reduce 2/4 by dividing the numerator (top) and the denominator (bottom) by 2. so 2/4 divided by 2/2 = 1/2.

**5. Errors canceling common factors in fractions.**

Cancelling out common factors works like this – 2/4 X 4/8 These are divisible by 2 so we divide by 2 in the top of one side and bottom of the other – 1/4 X 4/4

We can do the same again with the bottom of the first fraction and the top of the second – 1/1 X 1/4 and since 1/1 = 1 we have 1 X 1/4 = 1/4.

**6. Errors with basic arithmetic operations** (addition, subtraction, multiplication, and division) with fractions. Fractions Practice

**7. Solving word problems involving fractions.** How to Solve Word Problems Word Problem Practice

**8. Errors converting percent, decimals, and fractions.** Converting Fractions and Decimal

### Decimal Tips, Tricks and Shortcuts

### Basic Math Multiple Choice

### Converting Fractions to Decimals

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**Written by**, Brian Stocker MA., Complete Test Preparation Inc.

**Date Published:**Thursday, March 27th, 2014

**Date Modified:**Thursday, June 27th, 2024

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## 12 Comments

.4% of 36 = .4/100 * 36 = (.4 *36)/100 = 14.4/100 = 0.144 The answer is correct

Thank you I so had it wrong

THIS WAS SO EASY

The question is .4% of 36

OOH!! I see the point now. that’s true you are correct sorry I don’t see the point before the 4

Sooooo……….How would I Know to do the last step(14.4/100) to complete the problem?

OK 14.4/100 – move decimal 2 places left – (dividing so the result will be smaller) = 0.144

Thank you Brian for working that one out, it was very helpful.

hi, can you please work out one of the ratio ones like #5 or #13

7:25= 7/25

7/25=0.28

0.28=28% Because from decimal to percent you move your decimal over two places to the right.

I got perfect score, thanks for this practice Ilove Math ♥

wow its very helpfull thank you :>>>> !i!i!i!i!