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ISEE Middle Level Math : Fractions

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Example Questions

Example Question #320 : Numbers And Operations

$\frac{35}{140}$ is equivalent to which of the following?

Possible Answers:

Correct answer:

Explanation:

To convert a fraction to a decimal, divide the numerator (top half) by the denominator (bottom half):

$35\div 140=.25$

Answer:

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Example Question #171 : Fractions

How do you write $\frac{3}{100}$ as a decimal?

Possible Answers:

Correct answer:

Explanation:

Divide the numerator (top half of the fraction) by the denominator (bottom half of the fraction) to convert the fraction to a decimal:

$3\div 100=.03$

Answer:

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Example Question #172 : Fractions

Write $\frac{4}{160}$ as a decimal.

Possible Answers:

Correct answer:

Explanation:

Divide the numerator (top half of the fraction) by the denominator (bottom half of the fraction) to convert the fraction to a decimal:

$4\div 160=.025$

Answer:

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Example Question #173 : Fractions

What is the decimal equivalent to $\frac{50}{250}$ ?

Possible Answers:

Correct answer:

Explanation:

Divide the numerator (top half of the fraction) by the denominator (bottom half of the fraction) to convert the fraction to a decimal:

$50\div 250=.20$

Answer:

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Example Question #174 : Fractions

Convert $\frac{11}{110}$ to a decimal.

Possible Answers:

Correct answer:

Explanation:

Divide the numerator (top half of the fraction) by the denominator (bottom half of the fraction) to convert the fraction to a decimal:

$11\div 110=.10$

Answer:

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Example Question #176 : Fractions

Arrange these numbers from least to greatest:

$\left \{ \frac{1}{7}, \frac{3}{20}, \frac{7}{50} \right \}$

Possible Answers:

$\left \{ \frac{3}{20}, \frac{1}{7} , \frac{7}{50}\right \}$

$\left \{ \frac{3}{20} , \frac{7}{50}, \frac{1}{7} \right \}$

$\left \{ \frac{7}{50}, \frac{1}{7}, \frac{3}{20} \right \}$

$\left \{ \frac{7}{50}, \frac{3}{20} , \frac{1}{7} \right \}$

$\left \{ \frac{1}{7} , \frac{3}{20}, \frac{7}{50} \right \}$

Correct answer:

$\left \{ \frac{7}{50}, \frac{1}{7}, \frac{3}{20} \right \}$

Explanation:

Rewrite all three numbers as their decimal equivalents by dividing numerator by denominator.

$\frac{1}{7} = 1 \div 7 = 0.142857 ...$

$\frac{3}{20} = 3 \div 20 = 0.15$

$\frac{7}{50} = 7 \div 50 = 0.14$

From the decimal equivalents, the fractions can be arranged as follows:

$\left \{ \frac{7}{50}, \frac{1}{7}, \frac{3}{20} \right \}$

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Example Question #175 : Fractions

Write $\frac{5 }{12}$ as a decimal.

Possible Answers:

$0.41\overline{6}$

0.42

$0.4 \overline{6}$

$0.41\overline{8}$

0.41

Correct answer:

$0.41\overline{6}$

Explanation:

Divide 5 by 12.

$\frac{5}{12} = 5\div 12 = 0.41666...$

Note that the "6" repeats forever. This can be written as $0.41\overline{6}$ .

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Example Question #176 : Fractions

How many of the following four numbers are elements of the set

$A = \left \{ x \; | \; \frac{1}{2}< x < \frac{2}{3}\right \} ?$

(A) 0.52

(B) 0.57

(D) 0.67

Possible Answers:

Four

Three

One

Two

None

Correct answer:

Three

Explanation:

$\frac{1}{2} = 1\div 2 = 0.5$ and $\frac{2}{3} = 2 \div 3= 0.666...$ , so we choose the numbers that fall between these two. Of the four choices, only 0.67 is not between these two numbers. The correct response is "three".

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Example Question #177 : Fractions

Add the fractions:

$\frac{8}{26}+\frac{11}{26}=$

Possible Answers:

$\frac{19}{26}$

$\frac{3}{26}$

$\frac{2}{26}$

$\frac{20}{26}$

Correct answer:

$\frac{19}{26}$

Explanation:

Add the numerators and keep the denominator the same:

$\frac{8}{26}+\frac{11}{26}=\frac{19}{26}$

Answer: $\frac{19}{26}$

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Example Question #178 : How To Find The Decimal Equivalent Of A Fraction

Arrange these numbers from least to greatest:

$\left \{- \frac{3}{4}, -\frac{7}{9},-\frac{8}{11} \right \}$

Possible Answers:

$\left \{ -\frac{8}{11} , - \frac{3}{4}, -\frac{7}{9}\right \}$

$\left \{ -\frac{8}{11}, -\frac{7}{9} , - \frac{3}{4}\right \}$

$\left \{-\frac{7}{9}, - \frac{3}{4}, -\frac{8}{11} \right \}$

$\left \{- \frac{3}{4}, -\frac{7}{9},-\frac{8}{11} \right \}$

$\left \{-\frac{7}{9}, -\frac{8}{11} , - \frac{3}{4}\right \}$

Correct answer:

$\left \{-\frac{7}{9}, - \frac{3}{4}, -\frac{8}{11} \right \}$

Explanation:

Rewrite all three numbers as their decimal equivalents by dividing numerator by denominator.

$- \frac{3}{4} = -3 \div 4 = -0.75$

$-\frac{7}{9} = -7 \div 9 = -0.777...$

$-\frac{8}{11} = -8 \div 11 = -0.7272...$

To arrange negative numbers from least to greatest, we must arrange them so that their absolute values (values without the negative symbol) go from greatest to least. In descending order, the absolute values are

$\left \{ 0.777..., 0.75, 0.7272... \right \}$ ,

so, in ascending order, the numbers themselves are

$\left \{ - 0.777..., -0.75, -0.7272... \right \}$ ,

or, in their fractional equivalents,

$\left \{-\frac{7}{9}, - \frac{3}{4}, -\frac{8}{11} \right \}$ .

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All ISEE Middle Level Math Resources

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ISEE Middle Level Math : Fractions

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

All ISEE Middle Level Math Resources

Example Questions

Example Question #320 : Numbers And Operations

Example Question #171 : Fractions

Example Question #172 : Fractions

Example Question #173 : Fractions

Example Question #174 : Fractions

Example Question #176 : Fractions

Example Question #175 : Fractions

Example Question #176 : Fractions

Example Question #177 : Fractions

Example Question #178 : How To Find The Decimal Equivalent Of A Fraction

All ISEE Middle Level Math Resources

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