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

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

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Example Questions

Example Question #11 : How To Find The Decimal Equivalent Of A Fraction

The triangle below is divided into eight identical smaller triangles.

Eighth_triangle

What fraction of the larger triangle is shaded, if the figure is drawn to scale?

Possible Answers:

 

Correct answer:

Explanation:

Remember that fractions are:

So, the triangle has a total of 8 parts, and 3 are shaded in. Therefore the fraction of the area that is shaded is .

Example Question #11 : How To Find The Decimal Equivalent Of A Fraction

What fraction is equivalent to ?

Possible Answers:

Correct answer:

Explanation:

The first place value after the decimal is the tenths place, so  is six-tenths, or .

Example Question #12 : How To Find The Decimal Equivalent Of A Fraction

In a survey, 8 out of the 32 people interviewed stated that they prefered vanilla over chocolate. What percentage of people preferred chocolate over vanilla?

Possible Answers:

25%

75%

30%

60%

70%

Correct answer:

75%

Explanation:

The question asks for the percentage of people who chose chocolate over vanilla. If 8 people out of 32 preferred vanilla over chocolate, then  people preferred chocolate over vanilla. 

Example Question #13 : Fractions

What is 35% of 300?

Possible Answers:

10500

90

120

105

9000

Correct answer:

105

Explanation:

35% can be written as .

Example Question #13 : How To Find The Decimal Equivalent Of A Fraction

Find the decimal equivalent to the fraction. Round to the nearest hundredths place, if necessary. 

Possible Answers:

0.29

0.291

0.029

29.11

Correct answer:

0.29

Explanation:

When converting a fraction to a decimal, divide the denominator by the numerator. Divide 23 by 79. The quotient is 0.291129...  The question asked you to round to the nearest hundredths place, so the correct choice is: 0.29.

Example Question #416 : Numbers And Operations

Place the following expressions in order, from lowest to highest: ,

Possible Answers:

,  

,  

,  

,  

Correct answer:

,  

Explanation:

You don't have to figure out the exact decimal values of the fractions in order to solve this problem. Written as a mixed number, .

You can see that is the lowest number, because  is less than , and and are greater than .

Next comes , because a larger denominator means a smaller number (if, of course, the numerator is the same).

Then comes , and finally , which in decimal form (remember: "percent" = "per hundred") equals , which is clearly greater than .

Example Question #417 : Numbers And Operations

Which fraction is between and ?

Possible Answers:

Correct answer:

Explanation:

Since 3 is greater than half of 5, we know that is greater than .

That eliminates , and , which are all less than or equal to .

That leaves , which is between and .

Example Question #418 : Numbers And Operations

Ashley has feet of garland, and she uses feet of it to go around the door frame. How many feet of garland does she have left?

Possible Answers:

Correct answer:

Explanation:

For this problem, you will need to find a common denominator for the fraction part of the mixed numbers:

Next, we want for the fraction in the mixed number we are subtracting from to be larger than the other fraction. We can do this by "taking" (or ) from the and add it to the . This gives us:

.

This should look less threatening now. Simply subtract the whole numbers and the fractions, and you are left with: .

Example Question #14 : How To Find The Decimal Equivalent Of A Fraction

Write as a fraction in lowest terms: 

Possible Answers:

Correct answer:

Explanation:

The expression is equal to sixty-six one-hundredths, so write it as a fraction and reduce as follows:

Example Question #15 : How To Find The Decimal Equivalent Of A Fraction

Write  as a decimal.

Possible Answers:

Correct answer:

Explanation:

Divide 5 by 4:

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