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ISEE Lower Level Math : How to find the decimal equivalent of a fraction

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Example Questions

Example Question #61 : Fractions

Find the decimal equivalent to:

$\frac{941}{100}$

Possible Answers:

9.441

9.5

9.41

0.941

0.0941

Correct answer:

9.41

Explanation:

To find the decimal equivalent of $\frac{941}{100}$ divide the numerator by the denominator:

$941\div100=9.41$

Additionally, if a fraction has a base of 10, 100 or 1,000 the ones place value of the numerator must be written in the place value that represents the name of the fraction. For example, in this problem there is a in the ones place value in the numerator and thus the is written in the hundredths place for the corresponding decimal number.

NOTE: $\frac{941}{100}$ is an improper fraction--which by definition means that the fraction represents a number larger than one whole. In this case, $\frac{941}{100}$ is equivalent to $9\frac{41}{100}$ .

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Example Question #62 : Fractions

Find $\frac{257}{1,000}$ written as a percent.

Possible Answers:

257 percent

25.7 percent

2.57 percent

percent

0.25 percent

Correct answer:

25.7 percent

Explanation:

To find the equivalent percent of $\frac{257}{1,000}$ divide the numerator by the denominator:

$257\div1,000=0.257$

Then multiply the decimal number by a factor of 100 :

$0.257\times 100=25.7$ percent

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Example Question #63 : Fractions

Find $\frac{345}{100}$ written as a percent.

Possible Answers:

354 percent

3.45 percent

345 percent

34.5 percent

35.4 percent

Correct answer:

345 percent

Explanation:

To find the equivalent percent of $\frac{345}{100}$ divide the numerator by the denominator:

$345\div 100=3.45$

Then multiply the decimal number by a factor of 100 :

$3.45\times 100=345$ percent
NOTE: the original fraction $\frac{345}{100}$ is an improper fraction. Thus, the corresponding percent must be greater than 100 percent.

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Example Question #61 : Fractions

out of students failed a recent biology exam. What percentage of the class passed the exam?

Possible Answers:

Not enough information is provided.

percent

Correct answer:

percent

Explanation:

To solve this problem, first find the percentage of students that failed the exam. This can be found by representing the students that failed as a fraction of the whole, dividing that numerator by the denominator and then by multiplying the decimal number by a factor of 100 :

$\frac{Students Failed}{Total Number Of Students}=\frac{12}{48}$

$12\div 48=0.25$

$0.25\times100=25$ percent failed the exam. Therefore, the number of students that passed the exam must be the difference between 100 percent and percent:

100-25=75 percent

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Example Question #62 : Fractions

Find $\frac{3}{60}$ written as a percent.

Possible Answers:

5.35 percent

3.5 percent

percent

0.5 percent

Correct answer:

percent

Explanation:

To find the equivalent percent of $\frac{3}{60}$ divide the numerator by the denominator:

$3\div60=0.05$

Then multiply the decimal number by a factor of 100 :

$0.05\times 100=5$ percent

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Example Question #63 : Fractions

Find the decimal equivalent to:

$\frac{37}{10}$

Possible Answers:

0.37

3.7

0.037

3.07

0.0037

Correct answer:

3.7

Explanation:

To find the decimal equivalent of $\frac{37}{10}$ divide the numerator by the denominator:

$37\div10=3.7$

Additionally, if a fraction has a base of 10, 100 or 1,000 the ones place value of the numerator must be written in the place value that represents the name of the fraction. For example, in this problem there is a in the ones place value in the numerator and thus the is written in the tenths place for the corresponding decimal number.

NOTE: $\frac{37}{10}$ is an improper fraction--which by definition means that the fraction represents a number larger than one whole. In this case, $\frac{37}{10}$ is equivalent to $3\frac{7}{10}$ .

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Example Question #61 : Fractions

Find the decimal equivalent to:

$\frac{4}{32}$

Possible Answers:

0.125

1.25

0.0125

12.5

0.00125

Correct answer:

0.125

Explanation:

To find the decimal equivalent of $\frac{4}{32}$ divide the numerator by the denominator:

$4\div32=0.125$

Note: $0.125\times100=12.5$ therefore $\frac{4}{32}$ must be equal to 12.5 percent.

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Example Question #461 : Numbers And Operations

Ms. Dunn has students in her history class. of the students recieved an A+ on their last exam. What percentage of the class recieved an A+ on the exam?

Possible Answers:

percent

37.5 percent

percent

12.25 percent

Correct answer:

37.5 percent

Explanation:

To solve this problem, represent the number of students that scored an A+ as a fraction of the entire class. Next, divide that numerator by the denominator. Then multiply that decimal number by a factor of 100 to find the corresponding percent.

The solution is:

$\frac{12}{32}=12\div32=0.375$

$0.375\times100=37.5$ percent

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Example Question #69 : Fractions

Find the decimal equivalent to:

$\frac{750}{1,000}$

Possible Answers:

7.50

0.75

7.05

0.075

0.705

Correct answer:

0.75

Explanation:

To find the decimal equivalent of $\frac{750}{1,000}$ divide the numerator by the denominator:

$750\div1,000=0.750$
Additionally, if a fraction has a base of 10, 100 or 1,000 the ones place value of the numerator must be written in the place value that represents the name of the fraction. For example, in this problem there is a in the ones place value in the numerator and thus the is written in the thousandths place for the corresponding decimal number.

Note: 0.750=0.75 . Thus, $\frac{750}{1,000}$ must equal percent.

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Example Question #70 : Fractions

Find $\frac{78}{10}$ written as a percent.

Possible Answers:

percent

7.8 percent

7.88 percent

780 percent

788 percent

Correct answer:

780 percent

Explanation:

To find the equivalent percent of $\frac{78}{10}$ divide the numerator by the denominator:

$78\div10=7.8$

Then multiply the decimal number by a factor of 100 :

$7.8\times 100=780$ percent
NOTE: the original fraction $\frac{78}{10}$ is an improper fraction. Thus, the corresponding percent must be greater than 100 percent.

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ISEE Lower Level Math : How to find the decimal equivalent of a fraction

Study concepts, example questions & explanations for ISEE Lower Level Math

All ISEE Lower Level Math Resources

Example Questions

Example Question #61 : Fractions

Example Question #62 : Fractions

Example Question #63 : Fractions

Example Question #61 : Fractions

Example Question #62 : Fractions

Example Question #63 : Fractions

Example Question #61 : Fractions

Example Question #461 : Numbers And Operations

Example Question #69 : Fractions

Example Question #70 : Fractions

All ISEE Lower Level Math Resources

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