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SSAT Middle Level Math : How to add fractions

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Example Questions

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Example Question #181 : Fractions

Which of the following is the sum of sixty-nine tenths, sixty-nine thousandths, and sixty-nine ten-thousandths?

Possible Answers:

7.5969

0.7659

0.69759

7.659

6.9759

Correct answer:

6.9759

Explanation:

Sixty-nine tenths, sixty-nine thousandths, and sixty-nine ten-thousandths can be rewritten as 6.9, 0.069, and 0.0069, respectively. Add, appending zeroes at the end of each number as needed:

$\begin{matrix} &6.9000 \\ & 0.0690\\ +&\underline{0.0069} \\ & 6.9759 \end{matrix}$

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Example Question #11 : How To Add Fractions

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+ (-2.5) = 0

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

2.5+5= 5+2.5

2.5 + 0 = 2.5

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 #1 : Additive Identity Property

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

Possible Answers:

2.5 + 0 = 2.5

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

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

2.5+ (-2.5) = 0

2.5+5= 5+2.5

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 #12 : How To Add Fractions

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

Possible Answers:

$\frac{11}{15}$

$\frac{11}{12}$

$\frac{13}{10}$

$\frac{13}{15}$

$\frac{3}{8}$

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 #11 : How To Add Fractions

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

Possible Answers:

1.09

0.9019

0.919

0.0919

The correct response is not given in the other choices.

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 #1 : Fractions

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

Possible Answers:

$1:41\textrm{ PM}$

$3:31\textrm{ PM}$

$3:41\textrm{ PM}$

$2:41\textrm{ PM}$

$2:31\textrm{ PM}$

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 #1 : How To Add Fractions

Add:

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

Possible Answers:

$\frac{2}{3}$

$\frac{20}{9}$

$\frac{22}{3}$

$\frac{8}{3}$

$\frac{22}{9}$

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 #1 : Addition With Fractions

Solve:

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

Possible Answers:

$\frac{10}{11}$

$\frac{41}{18}$

$\frac{10}{9}$

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 #11 : How To Add Fractions

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

Possible Answers:

$\frac{1}{5}$

$\frac{5}{5}$

$\frac{2}{5}$

$\frac{3}{5}$

Correct answer:

$\frac{3}{5}$

Explanation:

Add the numerators:

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

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Example Question #3 : How To Add Fractions

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

Possible Answers:

11.2

10.8

10.4

10.2

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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SSAT Middle Level Math : How to add fractions

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

All SSAT Middle Level Math Resources

Example Questions

Example Question #181 : Fractions

Example Question #11 : How To Add Fractions

Example Question #1 : Additive Identity Property

Example Question #12 : How To Add Fractions

Example Question #11 : How To Add Fractions

Example Question #1 : Fractions

Example Question #1 : How To Add Fractions

Example Question #1 : Addition With Fractions

Example Question #11 : How To Add Fractions

Example Question #3 : How To Add Fractions

All SSAT Middle Level Math Resources

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