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ISEE Lower Level Math : Fractions

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

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Example Questions

Example Question #11 : Fractions

The triangle below is divided into eight identical smaller triangles.

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

Possible Answers:

$\frac{1}{4}$

$\frac{3}{8}$

$\frac{2}{7}$

$\frac{1}{5}$

Correct answer:

$\frac{3}{8}$

Explanation:

Remember that fractions are:

$\frac{part}{whole}$

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

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Example Question #12 : Fractions

What fraction is equivalent to 0.6 ?

Possible Answers:

$\frac{6}{100}$

$\frac{1}{6}$

$\frac{1}{60}$

$\frac{6}{10}$

Correct answer:

$\frac{6}{10}$

Explanation:

The first place value after the decimal is the tenths place, so 0.6 is six-tenths, or $\frac{6}{10}$ .

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Example Question #13 : Fractions

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:

30%

60%

75%

70%

25%

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 32-8=24 people preferred chocolate over vanilla.

$\frac{24}{32}=.75*100=75$

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Example Question #14 : Fractions

What is 35% of 300?

Possible Answers:

10500

9000

120

105

Correct answer:

105

Explanation:

35% can be written as $\frac{35}{100}=.35$ .

.35*300=105

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Example Question #14 : Fractions

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

$\frac{23}{79}$

Possible Answers:

0.291

0.29

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.

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Example Question #16 : Fractions

Place the following expressions in order, from lowest to highest: $2\frac{1}{8}$ , $222\%$ , $\frac{15}{7}$ , 2.09

Possible Answers:

2.09 , $2\frac{1}{8}$ , $\frac{15}{7}$ , $222\%$

2.09 , $\frac{15}{7}$ , $2\frac{1}{8}$ , $222\%$

$222\%$ , $\frac{15}{7}$ , $2\frac{1}{8}$ , 2.09

$\frac{15}{7}$ , 2.09 , $222\%$ , $2\frac{1}{8}$

Correct answer:

2.09 , $2\frac{1}{8}$ , $\frac{15}{7}$ , $222\%$

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, $\frac{15}{7}=2\frac{1}{7}$ .

You can see that 2.09 is the lowest number, because is less than $\frac{1}{10}$ , and $\frac{1}{8}$ and $\frac{1}{7}$ are greater than $\frac{1}{10}$ .

Next comes $2\frac{1}{8}$ , because a larger denominator means a smaller number (if, of course, the numerator is the same).

Then comes $\frac{15}{7}$ , and finally $222\%$ , which in decimal form (remember: "percent" = "per hundred") equals 2.22 , which is clearly greater than $2\frac{1}{5}$ .

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Example Question #17 : Fractions

Which fraction is between $\frac{3}{5}$ and $\frac{9}{10}$ ?

Possible Answers:

$\frac{5}{11}$

$\frac{7}{9}$

$\frac{1}{2}$

$\frac{4}{9}$

Correct answer:

$\frac{7}{9}$

Explanation:

Since 3 is greater than half of 5, we know that $\frac{3}{5}$ is greater than $\frac{1}{2}$ .

That eliminates $\frac{1}{2}$ , $\frac{5}{11}$ , and $\frac{4}{9}$ , which are all less than or equal to $\frac{1}{2}$ .

That leaves $\frac{7}{9}$ , which is between $\frac{3}{5}$ and $\frac{9}{10}$ .

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Example Question #18 : Fractions

Ashley has $13\frac{1}{8}$ feet of garland, and she uses $8\frac{3}{4}$ feet of it to go around the door frame. How many feet of garland does she have left?

Possible Answers:

$5\frac{1}{8}$

$4\frac{1}{8}$

$4\frac{1}{4}$

$4\frac{3}{8}$

Correct answer:

$4\frac{3}{8}$

Explanation:

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

$13\frac{1}{8}-8\frac{3}{4}= 13\frac{1}{8}- 8\frac{6}{8}$

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 $\frac{8}{8}$ ) from the and add it to the $\frac{1}{8}$ . This gives us:

$12\frac{9}{8}-8\frac{6}{8}$ .

This should look less threatening now. Simply subtract the whole numbers and the fractions, and you are left with: $4\frac{3}{8}$ .

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Example Question #15 : Fractions

Write as a fraction in lowest terms: 0.66

Possible Answers:

$\frac{66}{100}$

$\frac{22}{25}$

$\frac{37}{50}$

$\frac{17}{25}$

$\frac{33}{50}$

Correct answer:

$\frac{33}{50}$

Explanation:

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

$0.66 = \frac{66}{100} = \frac{66 \div 2}{100 \div 2} = \frac{33}{50}$

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Example Question #16 : Fractions

Write $\frac{5}{4}$ as a decimal.

Possible Answers:

1.2

1.25

1.14

0.75

0.8

Correct answer:

1.25

Explanation:

Divide 5 by 4:

$5 \div 4 = 1.25$

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ISEE Lower Level Math : Fractions

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

All ISEE Lower Level Math Resources

Example Questions

Example Question #11 : Fractions

Example Question #12 : Fractions

Example Question #13 : Fractions

Example Question #14 : Fractions

Example Question #14 : Fractions

Example Question #16 : Fractions

Example Question #17 : Fractions

Example Question #18 : Fractions

Example Question #15 : Fractions

Example Question #16 : Fractions

All ISEE Lower Level Math Resources

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