FTCE GK Mathematics Fractions Decimals Percents

1. Convert 3/8 to a decimal.

0.325

0.375

0.425

0.475

To convert the fraction 3/8 to a decimal, divide 3 by 8. Performing the division gives 0.375. This means that 3 out of 8 parts equals 0.375 in decimal form, making it a straightforward conversion from a fraction to a decimal representation.

Explanation

To convert the fraction 3/8 to a decimal, divide 3 by 8. Performing the division gives 0.375. This means that 3 out of 8 parts equals 0.375 in decimal form, making it a straightforward conversion from a fraction to a decimal representation.

2. What is 45% expressed as a fraction in lowest terms?

9/20

9/25

45/100

18/40

To convert 45% to a fraction, first express it as 45/100. This fraction can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 5. Thus, 45 ÷ 5 = 9 and 100 ÷ 5 = 20, resulting in the simplified fraction 9/20.

Explanation

To convert 45% to a fraction, first express it as 45/100. This fraction can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 5. Thus, 45 ÷ 5 = 9 and 100 ÷ 5 = 20, resulting in the simplified fraction 9/20.

3. Convert 0.65 to a percentage.

6.5%

65%

650%

0.65%

To convert a decimal to a percentage, you multiply it by 100. Thus, 0.65 multiplied by 100 equals 65. This means that 0.65 represents 65 out of 100, which is equivalent to 65%.

Explanation

To convert a decimal to a percentage, you multiply it by 100. Thus, 0.65 multiplied by 100 equals 65. This means that 0.65 represents 65 out of 100, which is equivalent to 65%.

4. Add 1/4 + 2/5. Express as a decimal.

0.45

0.55

0.65

0.75

To add the fractions 1/4 and 2/5, first find a common denominator, which is 20. Convert the fractions: 1/4 becomes 5/20 and 2/5 becomes 8/20. Adding these gives 13/20. Converting 13/20 to a decimal results in 0.65.

Explanation

To add the fractions 1/4 and 2/5, first find a common denominator, which is 20. Convert the fractions: 1/4 becomes 5/20 and 2/5 becomes 8/20. Adding these gives 13/20. Converting 13/20 to a decimal results in 0.65.

5. What is 20% of 85?

15

17

19

21

To find 20% of 85, multiply 85 by 0.20 (which is the decimal form of 20%). This calculation yields 17. Thus, 20% of 85 is 17, making it the correct choice among the options provided.

Explanation

To find 20% of 85, multiply 85 by 0.20 (which is the decimal form of 20%). This calculation yields 17. Thus, 20% of 85 is 17, making it the correct choice among the options provided.

6. Subtract 0.75 - 3/8.

0.25

0.375

0.5

0.625

To solve 0.75 - 3/8, first convert 0.75 to a fraction: 0.75 = 6/8. Then, subtract 3/8 from 6/8: 6/8 - 3/8 = 3/8. Converting 3/8 back to decimal gives 0.375, which is the final answer.

Explanation

To solve 0.75 - 3/8, first convert 0.75 to a fraction: 0.75 = 6/8. Then, subtract 3/8 from 6/8: 6/8 - 3/8 = 3/8. Converting 3/8 back to decimal gives 0.375, which is the final answer.

7. A shirt costs $40. If it is 30% off, what is the sale price?

$12

$28

$32

$35

To find the sale price of the shirt, first calculate 30% of $40, which is $12. Then, subtract this discount from the original price: $40 - $12 = $28. Thus, the sale price of the shirt after applying the discount is $28.

Explanation

To find the sale price of the shirt, first calculate 30% of $40, which is $12. Then, subtract this discount from the original price: $40 - $12 = $28. Thus, the sale price of the shirt after applying the discount is $28.

8. Express 7/16 as a percentage.

43.75%

45.5%

48.25%

50%

To convert a fraction to a percentage, multiply it by 100. For 7/16, calculate (7 ÷ 16) × 100, which equals 43.75. This shows that 7 out of 16 parts represent 43.75% of the whole.

Explanation

To convert a fraction to a percentage, multiply it by 100. For 7/16, calculate (7 ÷ 16) × 100, which equals 43.75. This shows that 7 out of 16 parts represent 43.75% of the whole.

9. Multiply 2.5 × 1/4.

0.525

0.625

0.725

0.825

To multiply 2.5 by 1/4, convert 2.5 to a fraction (5/2). Then, multiply: (5/2) × (1/4) = 5/8. Converting 5/8 to decimal gives 0.625, which is the result of the multiplication.

Explanation

To multiply 2.5 by 1/4, convert 2.5 to a fraction (5/2). Then, multiply: (5/2) × (1/4) = 5/8. Converting 5/8 to decimal gives 0.625, which is the result of the multiplication.

10. If 15% of a number is 24, what is the number?

120

140

160

180

To find the number, set up the equation where 15% of the number equals 24. This can be expressed as 0.15x = 24. Solving for x gives x = 24 / 0.15, which equals 160. Thus, the number is 160.

Explanation

To find the number, set up the equation where 15% of the number equals 24. This can be expressed as 0.15x = 24. Solving for x gives x = 24 / 0.15, which equals 160. Thus, the number is 160.

11. Convert 5/6 to a decimal. Round to nearest hundredth.

0.75

0.80

0.83

0.88

To convert the fraction 5/6 to a decimal, divide 5 by 6, which equals approximately 0.8333. Rounding this value to the nearest hundredth results in 0.83. Thus, the answer reflects the accurate conversion and rounding of the fraction.

Explanation

To convert the fraction 5/6 to a decimal, divide 5 by 6, which equals approximately 0.8333. Rounding this value to the nearest hundredth results in 0.83. Thus, the answer reflects the accurate conversion and rounding of the fraction.

12. What percent of 200 is 50?

15%

20%

25%

30%

To find what percent 50 is of 200, you divide 50 by 200 and then multiply by 100. This calculation is (50/200) * 100, which equals 25%. Thus, 50 represents 25% of 200.

Explanation

To find what percent 50 is of 200, you divide 50 by 200 and then multiply by 100. This calculation is (50/200) * 100, which equals 25%. Thus, 50 represents 25% of 200.