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SSAT Middle Level Math : Fractions

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Example Questions

Example Question #491 : Concepts

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

Possible Answers:

(2.5 + 5) + 7.5 = 2.5 + (5+7.5)

2.5+5= 5+2.5

2.5+ (-2.5) = 0

2.5 + 0 = 2.5

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

Correct answer:

2.5+ (-2.5) = 0

Explanation:

The inverse property of addition states that for every real number, a number exists, called the additive inverse, such that the number and its inverse have sum 0. Of the statements given, only

2.5+ (-2.5) = 0

demonstrates this property, so it is the correct choice.

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Example Question #415 : Operations And Properties

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

Possible Answers:

2.5+5= 5+2.5

(2.5 + 5) + 7.5 = 2.5 + (5+7.5)

2.5 + 0 = 2.5

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

2.5+ (-2.5) = 0

Correct answer:

2.5 + 0 = 2.5

Explanation:

The identity property of addition states that there is a number 0, called the additive identity, that can be added to any number to yield that number as the sum. Of the four statements,

2.5 + 0 = 2.5

demonstrates this property.

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Example Question #492 : Concepts

Which of the following is the sum of two-thirds and one-fifth?

Possible Answers:

$\frac{13}{15}$

$\frac{13}{10}$

$\frac{11}{12}$

$\frac{11}{15}$

$\frac{3}{8}$

Correct answer:

$\frac{13}{15}$

Explanation:

Since GCF (3,5) = 15 , rewrite each fraction as its equivalent in fifteenths and add the numerators:

$\frac{2}{3 } + \frac{1}{5} = \frac{2 \times 5}{3 \times 5 } + \frac{3 \times 1}{3 \times 5} = \frac{10}{15 } + \frac{3 }{15} = \frac{10+3}{15 } = \frac{13}{15 }$

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Example Question #191 : Fractions

Which of the following is the sum of nine tenths and nineteen thousandths?

Possible Answers:

0.919

0.9019

The correct response is not given in the other choices.

1.09

0.0919

Correct answer:

0.919

Explanation:

Nine tenths is equal to 0.9; nineteen thousandths is equal to 0.019. Add them, rewriting 0.9 as 0.900:

0.900

$\underline{+ \; 0.019}$

0.919

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Example Question #21 : Hspt Mathematics

The time is now 11:17 AM. What time will it be in three hours and twenty-four minutes?

Possible Answers:

$2:31\textrm{ PM}$

$1:41\textrm{ PM}$

$3:31\textrm{ PM}$

$2:41\textrm{ PM}$

$3:41\textrm{ PM}$

Correct answer:

$2:41\textrm{ PM}$

Explanation:

The time is 11:17 AM. In 24 minutes, the minutes will read 17 + 24 = 41 , so it wil be 11:41 AM. Let's then add three hours to it.

The time will be 2:41 PM.

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Example Question #396 : Concepts

Add:

$\frac{1}{9}+\frac{7}{3}$

Possible Answers:

$\frac{20}{9}$

$\frac{22}{9}$

$\frac{22}{3}$

$\frac{8}{3}$

$\frac{2}{3}$

Correct answer:

$\frac{22}{9}$

Explanation:

Rewrite using the lowest comon denominator. Since LCM (9, 3) = 9 :

$\frac{1}{9}+\frac{7}{3}=\frac{1}{9}+\frac{7\times 3}{3\times 3}=\frac{1}{9}+\frac{21}{9}=\frac{1+21}{9}=\frac{22}{9}$

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Example Question #397 : Concepts

Solve:

$\frac{3}{2}+\frac{7}{9}=$

Possible Answers:

$\frac{41}{18}$

$\frac{10}{11}$

$\frac{10}{9}$

Correct answer:

$\frac{41}{18}$

Explanation:

The least common multiple of 2 and 9 is 18.

$\frac{3}{2}=\frac{27}{18}$

$\frac{7}{9}=\frac{14}{18}$

$\frac{27}{18}+\frac{14}{18}=\frac{27+14}{18}=\frac{41}{18}$

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Example Question #398 : Concepts

$\frac{2}{5}+\frac{1}{5}=$

Possible Answers:

$\frac{3}{5}$

$\frac{2}{5}$

$\frac{1}{5}$

$\frac{5}{5}$

Correct answer:

$\frac{3}{5}$

Explanation:

Add the numerators:

$\frac{2}{5}+\frac{1}{5}=$ $\frac{3}{5}$

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Example Question #399 : Concepts

Which of the following expressions is equal to $6\frac{4}{5} + 4 \frac{2}{5}$ ?

Possible Answers:

11.2

10.8

10.2

10.4

Correct answer:

11.2

Explanation:

Rewrite both numbers as decimals:

$\frac{4}{5} = 4 \div 5 = 0.8$ , so $6\frac{4}{5} = 6.8$

$\frac{2}{5} = 2\div 5 = 0.4$ , so $4 \frac{2}{5} = 4.4$

Add the decimals vertically, lining up the decimal points:

6.8

$\underline{+4.4}$

11.2

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Example Question #193 : Fractions

Add the fractions below:

$\frac{3}{4}+\frac{5}{6}$

Possible Answers:

$2\frac{7}{12}$

$1\frac{7}{12}$

$1\frac{5}{12}$

$1\frac{17}{24}$

$1\frac{7}{24}$

Correct answer:

$1\frac{7}{12}$

Explanation:

To add fractions with different denominators, first the fractions should be rewritten as equivalent fractions with the same denominators. The simplest common denominator to get is the product of the denominators (i.e. $6\cdot 4=24$ , in this question). However, the best denominator to use is the least common denominator, which is the least common multiple of the denominators (which is 12 in this case).

$\frac{3}{4}+\frac{5}{6}= \left ( \frac{3}{4}\cdot \frac{3}{3} +\frac{5}{6}\cdot \frac{2}{2} \right )$

$=\frac{9}{12}+\frac{10}{12}$

Now the denominators are equal and we can add the numerators:

$\frac{9}{12}+\frac{10}{12}=\frac{19}{12}$

which can be written as:

$1\frac{7}{12}$

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SSAT Middle Level Math : Fractions

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

All SSAT Middle Level Math Resources

Example Questions

Example Question #491 : Concepts

Example Question #415 : Operations And Properties

Example Question #492 : Concepts

Example Question #191 : Fractions

Example Question #21 : Hspt Mathematics

Example Question #396 : Concepts

Example Question #397 : Concepts

Example Question #398 : Concepts

Example Question #399 : Concepts

Example Question #193 : Fractions

All SSAT Middle Level Math Resources

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