Praxis CKT Math Fractions and Decimal Concepts Quiz

1. Convert 3/8 to a decimal.

0.375

0.385

0.425

0.475

To convert the fraction 3/8 to a decimal, divide the numerator (3) by the denominator (8). Performing the division, 3 divided by 8 equals 0.375. This result represents the decimal equivalent of the fraction 3/8.

Explanation

To convert the fraction 3/8 to a decimal, divide the numerator (3) by the denominator (8). Performing the division, 3 divided by 8 equals 0.375. This result represents the decimal equivalent of the fraction 3/8.

2. Which fraction is equivalent to 0.625?

5/8

3/5

2/3

7/10

To convert the decimal 0.625 to a fraction, recognize that it represents 625/1000. Simplifying this fraction by dividing both the numerator and denominator by their greatest common divisor (125) results in 5/8. Therefore, 0.625 is equivalent to the fraction 5/8.

Explanation

To convert the decimal 0.625 to a fraction, recognize that it represents 625/1000. Simplifying this fraction by dividing both the numerator and denominator by their greatest common divisor (125) results in 5/8. Therefore, 0.625 is equivalent to the fraction 5/8.

3. Order these numbers from least to greatest: 0.45, 7/15, 0.5, 4/9.

7/15, 0.45, 4/9, 0.5

0.45, 7/15, 4/9, 0.5

7/15, 4/9, 0.45, 0.5

0.45, 4/9, 7/15, 0.5

To compare the numbers, convert fractions to decimals: 7/15 ≈ 0.4667 and 4/9 ≈ 0.4444. Arranging the decimals, we find 0.45 (0.4500), 7/15 (0.4667), 4/9 (0.4444), and 0.5 (0.5000). Thus, the order from least to greatest is 0.45, 7/15, 4/9, 0.5.

Explanation

To compare the numbers, convert fractions to decimals: 7/15 ≈ 0.4667 and 4/9 ≈ 0.4444. Arranging the decimals, we find 0.45 (0.4500), 7/15 (0.4667), 4/9 (0.4444), and 0.5 (0.5000). Thus, the order from least to greatest is 0.45, 7/15, 4/9, 0.5.

4. Simplify: 5/12 + 1/4.

6/16

2/3

8/12

6/12

To simplify 5/12 + 1/4, first convert 1/4 to a fraction with a common denominator of 12, giving 3/12. Adding these fractions results in 8/12. Simplifying 8/12 by dividing both the numerator and denominator by 4 gives 2/3, which is the final simplified result.

Explanation

To simplify 5/12 + 1/4, first convert 1/4 to a fraction with a common denominator of 12, giving 3/12. Adding these fractions results in 8/12. Simplifying 8/12 by dividing both the numerator and denominator by 4 gives 2/3, which is the final simplified result.

5. What is 0.8 ÷ 0.2?

0.4

2

4

0.16

To solve 0.8 ÷ 0.2, you can simplify the division by converting it to a fraction: 0.8 is the same as 8/10, and 0.2 is 2/10. Dividing these gives (8/10) ÷ (2/10), which simplifies to 8 ÷ 2, resulting in 4. Thus, the answer is 4.

Explanation

To solve 0.8 ÷ 0.2, you can simplify the division by converting it to a fraction: 0.8 is the same as 8/10, and 0.2 is 2/10. Dividing these gives (8/10) ÷ (2/10), which simplifies to 8 ÷ 2, resulting in 4. Thus, the answer is 4.

6. Express 2 3/5 as a decimal.

2.35

2.6

2.75

3.5

To convert the mixed number 2 3/5 to a decimal, first convert the fraction 3/5 into a decimal, which is 0.6. Then, add this to the whole number 2: 2 + 0.6 equals 2.6. Thus, 2 3/5 as a decimal is 2.6.

Explanation

To convert the mixed number 2 3/5 to a decimal, first convert the fraction 3/5 into a decimal, which is 0.6. Then, add this to the whole number 2: 2 + 0.6 equals 2.6. Thus, 2 3/5 as a decimal is 2.6.

7. Multiply: 2/3 × 9/10.

18/30

3/5

6/10

11/13

To multiply fractions, multiply the numerators and the denominators: (2 × 9) / (3 × 10) = 18/30. Simplifying 18/30 by dividing both the numerator and denominator by 6 gives 3/5. This is the simplest form of the fraction, representing the final answer.

Explanation

To multiply fractions, multiply the numerators and the denominators: (2 × 9) / (3 × 10) = 18/30. Simplifying 18/30 by dividing both the numerator and denominator by 6 gives 3/5. This is the simplest form of the fraction, representing the final answer.

8. Which decimal is closest to 5/6?

0.75

0.80

0.83

0.90

To find the decimal closest to 5/6, divide 5 by 6, which equals approximately 0.8333. Among the options provided, 0.83 is the nearest decimal representation, making it the best choice.

Explanation

To find the decimal closest to 5/6, divide 5 by 6, which equals approximately 0.8333. Among the options provided, 0.83 is the nearest decimal representation, making it the best choice.

9. Subtract: 7/8 − 1/3.

13/24

6/5

21/24

5/24

To subtract the fractions 7/8 and 1/3, first find a common denominator, which is 24. Convert 7/8 to 21/24 and 1/3 to 8/24. Then, subtract: 21/24 - 8/24 = 13/24. Thus, the answer is 13/24.

Explanation

To subtract the fractions 7/8 and 1/3, first find a common denominator, which is 24. Convert 7/8 to 21/24 and 1/3 to 8/24. Then, subtract: 21/24 - 8/24 = 13/24. Thus, the answer is 13/24.

10. Convert 0.125 to a fraction in lowest terms.

1/8

1/6

1/5

2/15

To convert 0.125 to a fraction, recognize that it is equivalent to 125/1000. Simplifying this fraction involves dividing both the numerator and denominator by their greatest common divisor, which is 125. This results in 1/8, making it the fraction in its lowest terms.

Explanation

To convert 0.125 to a fraction, recognize that it is equivalent to 125/1000. Simplifying this fraction involves dividing both the numerator and denominator by their greatest common divisor, which is 125. This results in 1/8, making it the fraction in its lowest terms.

11. Divide: 3/4 ÷ 1/2.

3/8

2/3

3/2

1/2

To divide fractions, multiply the first fraction by the reciprocal of the second. Here, 3/4 ÷ 1/2 becomes 3/4 × 2/1. This simplifies to (3 × 2) / (4 × 1) = 6/4, which reduces to 3/2. Thus, the answer is 3/2.

Explanation

To divide fractions, multiply the first fraction by the reciprocal of the second. Here, 3/4 ÷ 1/2 becomes 3/4 × 2/1. This simplifies to (3 × 2) / (4 × 1) = 6/4, which reduces to 3/2. Thus, the answer is 3/2.

12. Is 0.333... equivalent to 1/3?

True

False

0.333... represents a repeating decimal where the digit 3 continues infinitely. This can be mathematically shown to be equivalent to 1/3 through various methods, such as multiplying both sides of the equation by 3, leading to the conclusion that 3 times 0.333... equals 1, thus confirming their equivalence.

Explanation

0.333... represents a repeating decimal where the digit 3 continues infinitely. This can be mathematically shown to be equivalent to 1/3 through various methods, such as multiplying both sides of the equation by 3, leading to the conclusion that 3 times 0.333... equals 1, thus confirming their equivalence.