Decimal Conversion Algebra Quiz

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| By Rbrenneman

Rbrenneman

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Quizzes Created: 1 | Total Attempts: 166

Questions: 20 | Attempts: 166 | Updated: Mar 19, 2023

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When it comes to converting a fraction to a decimal number it is important to ensure that you do it right and avoid causing a mathematical error. The quiz below is designed to help you perfect your skills. Give it a try and see if you need to get a tutor.

Questions and Answers

1.

Convert 7/8 to a decimal.

Explanation
To convert a fraction to a decimal, you divide the numerator (the top number) by the denominator (the bottom number). In this case, dividing 7 by 8 gives us 0.875. Therefore, the decimal form of 7/8 is 0.875.

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2.

The water tank had a maximum capacity of 84 gallons. If the tank was 2/7 full, how many gallons of water did it have?

Explanation
84*2/7 = 168/7 = 24 gallons

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3.

George cut 2/3 of the pie and put that giant piece on his plate. Then he ate 1/4 of that piece. What fraction of the original pie did George eat?

Explanation
1/4 * 2/3 = 1/6

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4.

15 has how many 3/4 s in it?

Explanation
15 divided by 3/4 = 15*4/3 = 60/3 = 20

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5.

Write 5.6% as a decimal.

Explanation
To convert a percentage to a decimal, divide the percentage by 100. In this case, to convert 5.6% to a decimal, divide 5.6 by 100. The result is 0.056, which is the decimal representation of 5.6%.

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6.

What is 45% of 175?

Explanation
.45 (175) = 78.75

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7.

What percent of 52 is 12? Round your answer to the nearest tenth.

Explanation
12/52 = .231 = 23.1%

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8.

Convert 32% to a fraction. Make sure your answer is fully reduced.

Explanation
32/100 reduces to 8/25

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9.

How many inches are in 35 feet?

Explanation
12 inches in a foot so, 35*12 = 420 inches

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10.

Convert 15,840 feet into miles. (1 mile = 1,760 yards; 1 yard = 3 feet)

Explanation
15,840/3 = 5280 yards/1760 = 3 miles

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11.

How many millimeters are in 4.511 meters?

Explanation
there are 1000 millimeters in one meter; 4.511*1000 = 4,511 millimeters.

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12.

Convert 140 square feet into square inches.

Explanation
There are 12*12 = 144 square inches in 1 square foot; 140*144 = 20,160 square inches

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13.

3(−9 +17)

Explanation
3(8) = 24

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14.

5(−8) − 21

Explanation
5(-8) = -40, -40 - 21 = -61

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15.

(2⋅3)³

Explanation
2*3 = 6, 6^3 = 6*6*6 = 216

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16.

x −14 = 39

Explanation
find what number minus 14 is 39

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17.

Reduce 5/25x

Explanation
The given expression "Reduce 5/25x" can be simplified by dividing both the numerator and denominator by the common factor 5. This simplifies to 1/5x.

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18.

Simplify 9x − 2x

Explanation
The given expression is a subtraction of two terms with the same variable, x. To simplify, we can combine the coefficients of x, which are 9 and -2. Adding these coefficients gives us 7. Therefore, the simplified form of 9x - 2x is 7x.

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19.

How long did it take Ted to drive (in his new sports car) 272 miles if his average speed was 68 mph?

Explanation
272/68 = 4

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20.

Mr. Drysdale earned $906.25 in interest in one year on money that he had deposited in his local bank. If the bank paid an interest rate of 6.25%, how much money did Mr. Drysdale deposit?

Explanation
906.25/.0625 = $14,500

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Current Version
Mar 19, 2023

Quiz Edited by
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Aug 31, 2010

Quiz Created by
Rbrenneman

Decimal Conversion Algebra Quiz

Convert 7/8 to a decimal.

The water tank had a maximum capacity of 84 gallons. If the tank was 2/7 full, how many gallons of water did it have?

George cut 2/3 of the pie and put that giant piece on his plate. Then he ate 1/4 of that piece. What fraction of the original pie did George eat?

15 has how many 3/4 s in it?

Write 5.6% as a decimal.

What is 45% of 175?

What percent of 52 is 12? Round your answer to the nearest tenth.

Convert 32% to a fraction. Make sure your answer is fully reduced.

How many inches are in 35 feet?

Convert 15,840 feet into miles. (1 mile = 1,760 yards; 1 yard = 3 feet)

How many millimeters are in 4.511 meters?

Convert 140 square feet into square inches.

3(−9 +17)

5(−8) − 21

(2⋅3)3

x −14 = 39

Reduce 5/25x

Simplify 9x − 2x

How long did it take Ted to drive (in his new sports car) 272 miles if his average speed was 68 mph?

Mr. Drysdale earned $906.25 in interest in one year on money that he had deposited in his local bank. If the bank paid an interest rate of 6.25%, how much money did Mr. Drysdale deposit?

(2⋅3)³