Questions and Answers
Convert 5 3/4 to a decimal. Round to the nearest tenth.
A warehouse worker ships 25 boxes each day. Every box contains 3 shipping labels. Inventory has 500 shipping labels. How many days will it take to use the inventory of shipping labels? Round to the nearest whole.
What is the value of x in the ratio and proportion 6:10::24:x?
A class of 25 students has 44% of boys. How many boys are there?
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What is 3.44 divided by 0.6?
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Solve if x=11 in the equation $x + \frac{44}{2x}$.
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What is the result of 4 & 7/8 divided by 1 & 1/6?
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Add 6 & 3/4 + 8 & 1/6.
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Solve for x in the equation $\frac{x}{250} = \frac{3}{500}$.
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What is the probability of getting a 5 when a dice is rolled?
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Convert 7 grams to milligrams.
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Sally eats 3/5 of her lunch. John eats 75%. Who ate more?
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Add 1/4 + 3/8.
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How many ounces are in 8 & 1/4 pints?
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Subtract 5/6 - 3/4.
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Add 2/3 + 1/6 + 2/5.
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A farmer’s production statistics find that it takes 2 chickens to produce 6 eggs in 24 hours. How many chickens will be needed to produce 24 eggs in 24 hours?
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Subtract 28 & 3/4 - 5 & 5/6.
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Add 7/8 + 9/10 + 6/5 as mixed numbers.
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A mother changes her baby 6 times a day. How many diapers will be needed in a year?
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Subtract 2 & 5/8 - 7/8 and reduce the answer.
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A dice is rolled; what's the probability of getting an odd number?
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32 divided by 8/9.
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40.3 divided by 4.8.
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Ratio and proportion: 0.1:10::x:400.
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A cake provides 24 servings. How many cakes do you need for a class of 70 and staff of 3?
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A female ran a 24 mile course in segments. How long did it take her to complete the course?
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What is 54% of $789.56?
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1/9 divided by 2/3.
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How many liters in 300 milliliters?
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Ratio and proportion: 18:x::10:300.
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Subtract 12 - 7 & 4/5.
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Find x in the ratio and proportion 120:x::40:0.5.
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5 & 3/4 divided by 1/2 and reduce.
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Ratio and proportion 1.2:x::14:42.
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Find x in the equation 40:5=60:x.
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Ratio and proportion: 15:2000::x:200.
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If the quotient is 4, and 12 is the dividend, what is the divisor?
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Subtract 7 & 7/10 - 3 & 4/5.
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Change 0.26 to a fraction.
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Multiply 4/9 x 1 & 4/5 x 2/5.
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Add 2/3 + 4/9.
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Compare if 0.045 is _____ to 0.054.
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Change 0.025 to a ratio.
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Change 0.004 to a ratio.
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Which of these fractions is the largest?
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Subtract 3/5 - 2/7.
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Convert 1/5 to a decimal.
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Which of the following is the largest decimal?
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A man is reading. He reads two chapters a day. How long will it take to finish 798 pages if each chapter has 6 pages?
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0.9 divided by 3.
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Subtract 12.02 - 9.99.
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Convert 2100 to standard time.
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A label states 1 mil contains 500 mg. How many mils are in 1.5 grams?
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A mother is planning a birthday party. She will give each child 15 balloons. There are 50 balloons per packet. How many packets does she need if there will be 16 children?
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Study Notes
Conversion and Rounding
- 5 3/4 converted to a decimal is 5.8 when rounded to the nearest tenth.
- 7 grams equals 7,000 milligrams in metric conversions.
- 0.26 as a fraction is represented as 13/50.
Rate and Usage Problems
- Shipping labels: 25 boxes daily, each with 3 labels, totaling 75 labels used per day, exhausting 500 labels in approximately 7 days.
- A mother changing diapers 6 times a day needs around 2,190 diapers annually.
- A cake serves 24, needing 4 cakes for 73 attendees (70 students + 3 staff).
Ratios and Proportions
- Example ratio problem: 6:10 is to 24 as x is to 40, solving for x gives 40.
- Ratio comparison: 0.1:10 is to x:400 leads to x = 4, showing consistent proportional relationships.
- For the ratio 18:x::10:300, x equals 540.
Probability and Statistics
- The probability of rolling a 5 on a die is 16.6%, while the chance of rolling an odd number is 50%.
- For a course completion time, accumulating various segments reveals the entire journey took 5.3 hours.
Addition and Subtraction of Fractions
- 1/4 added to 3/8 equals 5/8.
- The sum of 7/8, 9/10, and 6/5 results in a mixed number of 2 & 39/40.
- Subtracting 5/6 from 3/4 simplifies to 1/12.
Divisions and Complex Calculations
- 3.44 divided by 0.6 gives approximately 5.73.
- Solving for x in the equation x/250 = 3/500 gives x as 1.5.
- A division of 32 by 8/9 results in 36.
Time and Distance Problems
- To find the total duration for reading 798 pages at 6 pages per chapter, taking two chapters daily calculates to 66.5 days.
Measurements and Conversions
- How many ounces in 8 & 1/4 pints: 1 pint equals 16 oz; therefore, total is 132 oz.
- For 300 milliliters to liters, conversion shows it equals 0.3 liters.
Decimal Comparisons
- Comparing decimal values, 0.045 is less than 0.054.
Number Operations
- Finding x where 120:x::40:0.5 results in x = 1.5.
- Subtraction of 12 - 7 & 4/5 equals 4 & 1/5.
Fractions and Mixed Numbers
- Mixed numbers can be simplified after operations, such as 5 & 3/4 divided by 1/2 simplifies to 11 & 1/2.
- Total egg production from 2 chickens yielding 6 eggs suggests 8 chickens are necessary for producing 24 eggs.
Answer Validations
- Multiple choices often provide insight into correct solutions, confirming calculations through several approaches, such as in probability or fraction operations.
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Test your math skills with HESI A2 math questions presented in a flashcard format. Each card covers essential concepts like converting fractions to decimals and solving practical math problems. Perfect for students preparing for the HESI A2 exam.
