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HSPT Math : Fractions

Study concepts, example questions & explanations for HSPT Math

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6 Diagnostic Tests 130 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #231 : Fractions

Solve the equation:

$\frac{20}{80}+\frac{11}{80}=$ $\displaystyle \frac{20}{80}+\frac{11}{80}=$

Possible Answers:

$\frac{7}{8}$ $\displaystyle \frac{7}{8}$

$\frac{11}{80}$ $\displaystyle \frac{11}{80}$

$\displaystyle 31$

$\frac{16}{80}$ $\displaystyle \frac{16}{80}$

$\frac{31}{80}$ $\displaystyle \frac{31}{80}$

Correct answer:

$\frac{31}{80}$ $\displaystyle \frac{31}{80}$

Explanation:

When adding fractions that have the same denominator, only the numerators are added together. Add the numerators and keep the denominators:

$\frac{20}{80}+\frac{11}{80}=\frac{31}{80}$ $\displaystyle \frac{20}{80}+\frac{11}{80}=\frac{31}{80}$

Answer: $\frac{31}{80}$ $\displaystyle \frac{31}{80}$

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Example Question #1361 : Isee Middle Level (Grades 7 8) Mathematics Achievement

Solve the equation:

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

Possible Answers:

$\displaystyle 9$

$\frac{9}{14}$ $\displaystyle \frac{9}{14}$

$\frac{9}{28}$ $\displaystyle \frac{9}{28}$

$\frac{3}{14}$ $\displaystyle \frac{3}{14}$

$\displaystyle 14$

Correct answer:

$\frac{9}{14}$ $\displaystyle \frac{9}{14}$

Explanation:

When adding fractions that have the same denominator, add the numerators only. To solve add the numerators and keep the denominators the same:

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

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

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Example Question #1363 : Isee Middle Level (Grades 7 8) Mathematics Achievement

Solve the equation:

$\frac{3}{12}+\frac{8}{12}=$ $\displaystyle \frac{3}{12}+\frac{8}{12}=$

Possible Answers:

$\displaystyle 12$

$\frac{11}{12}$ $\displaystyle \frac{11}{12}$

$\frac{3}{4}$ $\displaystyle \frac{3}{4}$

$\displaystyle 11$

$\frac{5}{12}$ $\displaystyle \frac{5}{12}$

Correct answer:

$\frac{11}{12}$ $\displaystyle \frac{11}{12}$

Explanation:

When adding fractions that have the same denominator, only the top numbers are summed. Add the numerators and leave the denominators the same:

$\frac{3}{12}+\frac{8}{12}=\frac{11}{12}$ $\displaystyle \frac{3}{12}+\frac{8}{12}=\frac{11}{12}$

Answer: $\frac{11}{12}$ $\displaystyle \frac{11}{12}$

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Example Question #711 : Numbers And Operations

Solve the equation:

$\frac{17}{70}+\frac{10}{70}=$ $\displaystyle \frac{17}{70}+\frac{10}{70}=$

Possible Answers:

$\frac{27}{70}$ $\displaystyle \frac{27}{70}$

$\frac{7}{70}$ $\displaystyle \frac{7}{70}$

$\frac{9}{10}$ $\displaystyle \frac{9}{10}$

$\displaystyle 27$

$\displaystyle 70$

Correct answer:

$\frac{27}{70}$ $\displaystyle \frac{27}{70}$

Explanation:

When adding fractions that have the same denominator, only the top numbers are summed. Add the numerators and leave the denominators the same:

$\frac{17}{70}+\frac{10}{70}=\frac{27}{70}$ $\displaystyle \frac{17}{70}+\frac{10}{70}=\frac{27}{70}$

Answer: $\frac{27}{70}$ $\displaystyle \frac{27}{70}$

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Example Question #712 : Numbers And Operations

Add: $\frac{52}{90}+\frac{10}{90}=$ $\displaystyle \frac{52}{90}+\frac{10}{90}=$

Possible Answers:

$\frac{42}{90}$ $\displaystyle \frac{42}{90}$

$\frac{31}{45}$ $\displaystyle \frac{31}{45}$

$\displaystyle 62$

$\displaystyle 42$

$\frac{62}{180}$ $\displaystyle \frac{62}{180}$

Correct answer:

$\frac{31}{45}$ $\displaystyle \frac{31}{45}$

Explanation:

Add the numerators and keep the denominators the same:

$\frac{52}{90}+\frac{10}{90}=\frac{62}{90}$ $\displaystyle \frac{52}{90}+\frac{10}{90}=\frac{62}{90}$

Reduce the fraction: $\frac{62\div 2}{90\div 2}=\frac{31}{45}$ $\displaystyle \frac{62\div 2}{90\div 2}=\frac{31}{45}$

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Example Question #713 : Numbers And Operations

$\frac{16}{20}+\frac{4}{20}=$ $\displaystyle \frac{16}{20}+\frac{4}{20}=$

Possible Answers:

$\displaystyle 1$

$\frac{20}{40}$ $\displaystyle \frac{20}{40}$

$\frac{1}{2}$ $\displaystyle \frac{1}{2}$

$\frac{12}{20}$ $\displaystyle \frac{12}{20}$

$\frac{36}{24}$ $\displaystyle \frac{36}{24}$

Correct answer:

$\displaystyle 1$

Explanation:

Add the numerators:

$\frac{16}{20}+\frac{4}{20}=\frac{20}{20}=1$ $\displaystyle \frac{16}{20}+\frac{4}{20}=\frac{20}{20}=1$

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Example Question #714 : Numbers And Operations

Add: $\frac{5}{10}+\frac{4}{10}=$ $\displaystyle \frac{5}{10}+\frac{4}{10}=$

Possible Answers:

$\frac{9}{10}$ $\displaystyle \frac{9}{10}$

$\displaystyle 9$

$\frac{10}{10}$ $\displaystyle \frac{10}{10}$

$\displaystyle .9$

$\frac{9}{20}$ $\displaystyle \frac{9}{20}$

Correct answer:

$\frac{9}{10}$ $\displaystyle \frac{9}{10}$

Explanation:

Add the numerators and leave the denominators the same:

$\frac{5}{10}+\frac{4}{10}=\frac{9}{10}$ $\displaystyle \frac{5}{10}+\frac{4}{10}=\frac{9}{10}$

Answer: $\frac{9}{10}$ $\displaystyle \frac{9}{10}$

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Example Question #715 : Numbers And Operations

Add: $\frac{1}{12}+\frac{6}{12}=$ $\displaystyle \frac{1}{12}+\frac{6}{12}=$

Possible Answers:

$\displaystyle 7$

$\displaystyle 9$

$\frac{7}{12}$ $\displaystyle \frac{7}{12}$

$\displaystyle 12$

$\displaystyle .7$

Correct answer:

$\frac{7}{12}$ $\displaystyle \frac{7}{12}$

Explanation:

Add the numerators and leave the denominators the same:

$\frac{1}{12}+\frac{6}{12}=\frac{7}{12}$ $\displaystyle \frac{1}{12}+\frac{6}{12}=\frac{7}{12}$

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

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Example Question #141 : Fractions

Add:

$\frac{2}{15}+\frac{5}{15}=$ $\displaystyle \frac{2}{15}+\frac{5}{15}=$

Possible Answers:

$\frac{3}{15}$ $\displaystyle \frac{3}{15}$

$\frac{7}{15}$ $\displaystyle \frac{7}{15}$

$\frac{2}{15}$ $\displaystyle \frac{2}{15}$

$\frac{7}{30}$ $\displaystyle \frac{7}{30}$

$\frac{5}{15}$ $\displaystyle \frac{5}{15}$

Correct answer:

$\frac{7}{15}$ $\displaystyle \frac{7}{15}$

Explanation:

Add the numerators and leave the denominators the same:

$\frac{2}{15}+\frac{5}{15}=\frac{7}{15}$ $\displaystyle \frac{2}{15}+\frac{5}{15}=\frac{7}{15}$

Answer: $\frac{7}{15}$ $\displaystyle \frac{7}{15}$

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Example Question #1372 : Isee Middle Level (Grades 7 8) Mathematics Achievement

Add:

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

Possible Answers:

$\frac{1}{12}$ $\displaystyle \frac{1}{12}$

$\frac{7}{12}$ $\displaystyle \frac{7}{12}$

$\displaystyle 7$

$\frac{10}{12}$ $\displaystyle \frac{10}{12}$

$-\frac{1}{12}$ $\displaystyle -\frac{1}{12}$

Correct answer:

$\frac{7}{12}$ $\displaystyle \frac{7}{12}$

Explanation:

Add the numerators and leave the denominators the same:

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

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

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HSPT Math : Fractions

Study concepts, example questions & explanations for HSPT Math

All HSPT Math Resources

Example Questions

Example Question #231 : Fractions

Example Question #1361 : Isee Middle Level (Grades 7 8) Mathematics Achievement

Example Question #1363 : Isee Middle Level (Grades 7 8) Mathematics Achievement

Example Question #711 : Numbers And Operations

Example Question #712 : Numbers And Operations

Example Question #713 : Numbers And Operations

Example Question #714 : Numbers And Operations

Example Question #715 : Numbers And Operations

Example Question #141 : Fractions

Example Question #1372 : Isee Middle Level (Grades 7 8) Mathematics Achievement

All HSPT Math Resources

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