subtract 28 34 5 56

HESI A2

HESI A2 Math Practice

1. Subtract 28 3/4 - 5 5/6.

A. 22 & 11/12
B. 23 & 1/2
C. 34 & 1/12
D. 22 & 2/3

Correct answer: A

Rationale: To subtract mixed numbers, find a common denominator. Convert 28 3/4 to 28 9/12. Then, subtract 5 5/6 from 28 9/12 to get 22 11/12. Therefore, 28 3/4 - 5 5/6 = 22 & 11/12, which matches choice A. Choices B, C, and D are incorrect because they do not reflect the correct subtraction result after finding the common denominator and performing the subtraction.

2. Convert 0.25 to a fraction.

A. 1/4
B. 1/3
C. 1/2
D. 3/4

Correct answer: A

Rationale: To convert a decimal to a fraction, place the decimal value over the place value of the last digit. In this case, 0.25 can be written as 25/100. Simplifying this fraction by dividing both the numerator and denominator by 25 gives 1/4. Therefore, 0.25 expressed as a fraction is 1/4. Choices B, C, and D are incorrect as they represent different fractional values that do not correspond to 0.25.

3. Change 0.26 to a fraction.

A. 7/8
B. 13/50
C. 26/100
D. 1/3

Correct answer: B

Rationale: To convert a decimal to a fraction, the decimal is written without the decimal point as the numerator. For 0.26, this gives 26. The denominator is based on the place value of the decimal, which is the number of decimal places the decimal has. In this case, 0.26 has two decimal places, so the fraction is 26/100, which simplifies to 13/50. Choice A (7/8) is incorrect as it does not represent 0.26. Choice C (26/100) is also incorrect because it is not in its simplest form. Choice D (1/3) is incorrect as it is not the correct equivalent fraction for 0.26.

4. Convert 5 3/4 to a decimal. Round to the nearest tenth.

A. 5.6
B. 5.7
C. 5.8
D. 6

Correct answer: C

Rationale: To convert 5 3/4 to a decimal, we add the whole number part to the fractional part: 5 + 3/4 = 5.75. Rounding 5.75 to the nearest tenth gives us 5.8. Therefore, the correct answer is C. Choice A (5.6) is incorrect because it does not accurately represent 5 3/4. Choice B (5.7) is incorrect as well because it does not reflect the correct conversion. Choice D (6) is incorrect as it does not account for the fractional part of 5 3/4.

5. What is the result of adding 6 3/4 + 8 1/6?

A. 14 & 11/12
B. 12 & 3/24
C. 35/6
D. 14 & 2/5

Correct answer: A

Rationale: To add mixed numbers, first convert them to improper fractions. 6 3/4 = 27/4 and 8 1/6 = 49/6. Finding a common denominator, we get 27/4 + 49/6 = 81/12 + 98/12 = 179/12 = 14 & 11/12. Therefore, the correct answer is A. Choice B is incorrect as it does not simplify to the correct result. Choice C is in fraction form and not in mixed number form, making it incorrect. Choice D is not the correct sum of the given mixed numbers, so it is also incorrect.