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SSAT Middle Level Math : How to add fractions

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

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Example Questions

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Example Question #1371 : Isee Middle Level (Grades 7 8) Mathematics Achievement

Add:

$\frac{3}{12}+\frac{4}{12}=$

Possible Answers:

$\frac{1}{12}$

$\frac{10}{12}$

$\frac{7}{12}$

$-\frac{1}{12}$

Correct answer:

$\frac{7}{12}$

Explanation:

Add the numerators and leave the denominators the same:

$\frac{3}{12}+\frac{4}{12}=\frac{7}{12}$

Answer: $\frac{7}{12}$

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Example Question #45 : How To Add Fractions

Solve:

$\frac{11}{13}+\frac{1}{13}=$

Possible Answers:

$\frac{10}{13}$

$\frac{12}{13}$

Correct answer:

$\frac{12}{13}$

Explanation:

Add the numerators and leave the denominators the same:

$\frac{11}{13}+\frac{1}{13}=\frac{12}{13}$

Answer: $\frac{12}{13}$

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Example Question #46 : How To Add Fractions

Solve:

$\frac{10}{22}+\frac{9}{22}=$

Possible Answers:

$\frac{19}{22}$

$\frac{1}{22}$

Correct answer:

$\frac{19}{22}$

Explanation:

Add the numerators and leave the denominators the same:

$\frac{10}{22}+\frac{9}{22}=\frac{19}{22}$

Answer: $\frac{19}{22}$

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Example Question #47 : How To Add Fractions

Solve:

$\frac{6}{14}+\frac{3}{14}=$

Possible Answers:

$\frac{9}{14}$

$\frac{3}{14}$

Correct answer:

$\frac{9}{14}$

Explanation:

Add the numerators and leave the denominators the same:

$\frac{6}{14}+\frac{3}{14}=\frac{9}{14}$

Answer: $\frac{9}{14}$

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Example Question #61 : How To Add Fractions

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

Possible Answers:

7.437

7.3767

7.3337

6.76767

6.767

Correct answer:

7.3767

Explanation:

Sixty-seven tenths, sixty-seven hundredths, and sixty-seven ten-thousandths can be rewritten as 6.7, 0.67, and 0.0067, respectively. Add, appending zeroes at the end of each number as needed:

$\begin{matrix} &6.7000 \\ & 0.6700\\ +&\underline{0.0067} \\ & 7.3767 \end{matrix}$

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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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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 #1371 : Isee Middle Level (Grades 7 8) Mathematics Achievement

Example Question #45 : How To Add Fractions

Example Question #46 : How To Add Fractions

Example Question #47 : How To Add Fractions

Example Question #61 : How To Add Fractions

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

All SSAT Middle Level Math Resources

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