Hesi A2_ Maths
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Add: 2/3 + 5/6 + 2/7 =
- 1 11/14
- 11 1/3
- 1 9/14
- 2/5
Explanation
Find the least common denominator (LCD) for 3, 6, and 7 → LCD = 42.
Convert each fraction:
2/3 = 28/42
5/6 = 35/42
2/7 = 12/42
Add them:
28/42 + 35/42 + 12/42 = 75/42
Convert 75/42 to a mixed number:
75 ÷ 42 = 1 remainder 33 → 1 33/42
Simplify 33/42 by dividing numerator and denominator by 3:
33/3 = 11, 42/3 = 14 → 11/14
Final answer: 1 11/14.
Correct Answer
1 11/14
Change 8.08 to a fraction, reduced to the lowest terms.
- 8 2/5
- 8 8/100
- 8 2/25
- 8 8/1000
Explanation
To convert 8.08 to a fraction, separate the whole number and decimal: 8.08 = 8 + 0.08. Express 0.08 as a fraction: 0.08 = 8/100. Simplify 8/100 by dividing numerator and denominator by 4: 8/100 = 2/25. Therefore, 8.08 as a fraction in lowest terms is 8 2/25.
Correct Answer
8 2/25
Subtract: 7 7/10 − 3 4/5 =
- 4 3/5
- 4 1/10
- 3 9/10
- 11 5/10
Explanation
First, convert 3 4/5 to a fraction with a denominator of 10: 3 4/5 = 3 8/10. Now subtract: 7 7/10 − 3 8/10. Since 7/10 is less than 8/10, borrow 1 from the whole number 7: 6 17/10 − 3 8/10 = 3 9/10. Therefore, the result of the subtraction is 3 9/10.
Correct Answer
3 9/10
The physician tells a woman who usually drinks 6 cups of coffee daily to cut down on her coffee consumption by 85%. If this woman is compliant with the physician's instruction, how many ounces of coffee is she allowed daily?
- 7.2
- 0.9
- 7.9
- 1.6
Explanation
An 85% reduction means the woman consumes only 15% of her usual intake. First, calculate 15% of 6 cups: 6 × 0.15 = 0.9 cups. If each cup is assumed to be 8 ounces, 0.9 × 8 = 7.2 ounces. Therefore, she is allowed to consume 7.2 ounces of coffee daily.
Correct Answer
7.2
Sally was able to eat 5/8 of her lunch. John ate 75% of his lunch. Who ate more of their meal?
- The amount cannot be calculated
- John.
- They both ate the same amount.
- Sally.
Explanation
To compare the amounts, convert both to the same format. 5/8 as a percentage is (5 ÷ 8) × 100 = 62.5%. John ate 75%, which is greater than 62.5%. Therefore, John ate a larger portion of his meal compared to Sally.
Correct Answer
John.
Which is the largest decimal?
- 0.367
- 0.46
- 0.438
- 0.0468
Explanation
To determine the largest decimal, compare the values digit by digit from left to right. The first digit after the decimal point is the most significant. Here, 0.46 has a 4 in the tenths place, which is greater than the tenths digit of the other numbers. Therefore, 0.46 is the largest decimal among the options.
Correct Answer
0.46
- 11/9
- 3/4
- 1/3
- 2/5
Explanation
Multiply denominators: 3 × 5 = 15
So, 2/3 × 3/5 = 6/15. Simplify 6/15 by dividing both numerator and denominator by 3:
6 ÷ 3 = 2
15 ÷ 3 = 5
Therefore, the product is 2/5.
- A 21/3.
- B 15%-
- C 3 2/3.
- D 1 1/6-
Explanation
4/3 + 7/3 = (4 + 7) / 3 = 11/3
Convert improper fraction to mixed number:
11 ÷ 3 = 3 remainder 2 → 3 2/3
Subtract: 9/10 − 2/5
- 7/10
- 1/2
- 7/5
- 11/15
Explanation
First, express both fractions with a common denominator. The denominators 10 and 5 have a least common denominator of 10. Convert: 2/5 = 4/10. Subtract: 9/10 − 4/10 = 5/10, which simplifies to 1/2. Therefore, the difference is 1/2.
Correct Answer Is:
1/2
Ratio and Proportion: 240:X = 80:0.8
- 24
- 2.4
- 240
- 1.2
Explanation
In a proportion a:b = c:d, the relationship is a/b = c/d. Here, 240/X = 80/0.8. Cross-multiply: 240 × 0.8 = 80 × X → 192 = 80X → X = 192 ÷ 80 = 2.4. Therefore, X equals 2.4 to maintain the proportion.
Correct Answer Is:
2.4
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