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ISEE Middle Level Math : Fractions

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6 Diagnostic Tests 303 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

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Example Question #66 : How To Add Fractions

Which of the following is the sum of two fifths, one fourth, and three tenths?

Possible Answers:

$\frac{21}{20}$

$\frac{19}{20}$

$\frac{17}{20}$

$\frac{9}{10 }$

Correct answer:

$\frac{19}{20}$

Explanation:

We must express the three fractions as their equivalents with a common denominator. Since GCF (4,5, 10)= 20 , we rewrite each fraction in terms of twentieths, then add as follows:

$\frac{2}{5} + \frac{1}{4} + \frac{3}{10 }$

$= \frac{2\times 4}{5\times 4} + \frac{1\times 5 }{4 \times 5} + \frac{3\times 2}{10 \times 2 }$

$= \frac{8}{20} + \frac{5 }{20} + \frac{6}{20} = \frac{8+ 5+ 6}{20} = \frac{19}{20}$

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Example Question #51 : How To Add Fractions

Add:

$\frac{3}{23}+\frac{3}{23}=$

Possible Answers:

$\frac{0}{23}$

$\frac{9}{23}$

$\frac{6}{23}$

Correct answer:

$\frac{6}{23}$

Explanation:

Add the numerators and leave the denominators alone:

$\frac{3}{23}+\frac{3}{23}=\frac{6}{23}$

Answer: $\frac{6}{23}$

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Example Question #52 : How To Add Fractions

Subtract:

$\frac{4}{23}-\frac{1}{23}=$

Possible Answers:

$\frac{4}{23}$

$\frac{5}{23}$

$\frac{3}{23}$

Correct answer:

$\frac{3}{23}$

Explanation:

Subtract the numerators and leave the denominators alone:

$\frac{4}{23}-\frac{1}{23}=\frac{3}{23}$

Answer: $\frac{3}{23}$

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Example Question #151 : Fractions

Add:

$\frac{5}{21}+\frac{15}{21}=$

Possible Answers:

$\frac{20}{21}$

$\frac{10}{21}$

Correct answer:

$\frac{20}{21}$

Explanation:

Because the two fractions have the same denominator, simply add the numerators and leave the denominator as is:

$\frac{5}{21}+\frac{15}{21}=\frac{20}{21}$

Answer: $\frac{20}{21}$

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Example Question #61 : How To Add Fractions

Which of the following statements demonstrates the commutative property of addition?

Possible Answers:

None of the examples in the other responses demonstrates the commutative property of addition.

2.5 + 7.5 = 7.5 + 2.5

2.5 + (-2.5) = 0

$2.5 + \left (7.5 + 5 \right ) = \left (2.5 + 7.5 \right ) + 5$

2.5 + 0 = 2.5

Correct answer:

2.5 + 7.5 = 7.5 + 2.5

Explanation:

The commutative property of addition states that two numbers can be added in either order to obtain the same sum. Of the given responses, only

2.5 + 7.5 = 7.5 + 2.5

demonstrates this property, so it is the correct choice.

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Example Question #152 : Fractions

Add the fractions:

$\frac{5}{25}+\frac{12}{25}=$

Possible Answers:

$\frac{7}{25}$

$\frac{17}{25}$

Correct answer:

$\frac{17}{25}$

Explanation:

Add the numerators and leave the denominator the same:

$\frac{5}{25}+\frac{12}{25}=\frac{17}{25}$

Answer: $\frac{17}{25}$

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Example Question #153 : Fractions

Add:

$\frac{2}{13}+\frac{4}{13}=$

Possible Answers:

$\frac{2}{13}$

$\frac{6}{13}$

Correct answer:

$\frac{6}{13}$

Explanation:

Add the numerators and leave the denominator the same:

$\frac{2}{13}+\frac{4}{13}=\frac{6}{13}$

Answer: $\frac{6}{13}$

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Example Question #493 : Numbers And Operations

The time is now 10:38 PM. What time will it be in two hours and fifty-two minutes?

Possible Answers:

$1:20 \textrm{ AM}$

$1:40 \textrm{ AM}$

$12:30 \textrm{ AM}$

$12:40 \textrm{ AM}$

$1:30 \textrm{ AM}$

Correct answer:

$1:30 \textrm{ AM}$

Explanation:

It is now 10:38 PM. In 60-38 = 22 minutes, it will be 11:00 PM; in 52-22 = 30 minutes, the minutes will read 30, so the time will be 11:30 PM. In another two hours, the hours will read

$11+ 2 \mod 12 = 13 \mod 12 = 1$ ,

so the time will be 1:30 AM.

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Example Question #58 : How To Add Fractions

Solve the expression.

$24(\frac{1}{12}+\frac{5}{6})$

Possible Answers:

None of these

Correct answer:

Explanation:

Start by solving for the term in parenthesis. We will need to find the least common denominator in order to add the fractions. Since 6 can be multiplied by 2 to get 12, 12 must be the least common denominator.

Convert the fractions so that they share a denominator of 12.

$\frac{5}{6}\times\frac{2}{2}=\frac{10}{12}$

$24(\frac{1}{12}+\frac{5}{6})=24(\frac{1}{12}+\frac{10}{12})$

Add the fractions in parenthesis.

$24(\frac{1+10}{12})=24(\frac{11}{12})$

Multiply.

$24(\frac{11}{12})=\frac{24}{1}\times\frac{11}{12}=\frac{24\times11}{1\times12}=\frac{264}{12}$

You can then simplify the fraction be removing 12 from both the numerator and denominator.

$\frac{264}{12}=\frac{264\div12}{12\div12}=\frac{22}{1}=22$

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Example Question #71 : How To Add Fractions

Which of the following is the sum of five-sevenths and one-half?

Possible Answers:

$\frac{17}{14}$

$\frac{8}{7}$

The correct answer is not among the other responses.

$\frac{15}{14}$

$\frac{9}{7}$

Correct answer:

$\frac{17}{14}$

Explanation:

Since GCF (2,7)= 14 , express each fraction as its equivalent in fourteenths, and add the numerators, as follows:

$\frac{5}{7} + \frac{1}{2} = \frac{5 \times 2}{7 \times 2} + \frac{7 \times 1}{7 \times 2} = \frac{10}{14} + \frac{7 }{14} = \frac{10+7}{14} = \frac{17}{14}$

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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 #66 : How To Add Fractions

Example Question #51 : How To Add Fractions

Example Question #52 : How To Add Fractions

Example Question #151 : Fractions

Example Question #61 : How To Add Fractions

Example Question #152 : Fractions

Example Question #153 : Fractions

Example Question #493 : Numbers And Operations

Example Question #58 : How To Add Fractions

Example Question #71 : How To Add Fractions

All ISEE Middle Level Math Resources

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