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HSPT Math : HSPT Mathematics

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

Example Questions

Example Question #111 : Fractions

Evaluate:

$\frac{1}{2} - \frac{1}{5} + \frac{1}{4}$

Possible Answers:

$\frac{11}{20}$

$\frac{13}{20}$

$\frac{7}{20}$

$\frac{9}{20}$

Correct answer:

$\frac{11}{20}$

Explanation:

The least common denominator of the three fractions is LCM (2,4,5) = 20 , so write each fraction in terms of this denominator:

$\frac{1}{2} - \frac{1}{5} + \frac{1}{4} = \frac{10}{20} - \frac{4} {20} + \frac{5}{20}$

By order of operations, subtract, then add:

$\frac{10}{20} - \frac{4} {20} + \frac{5}{20} = \frac{10-4}{20} + \frac{5}{20} = \frac{6}{20} + \frac{5}{20} = \frac{11}{20}$ ,

which is the correct result.

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Example Question #205 : Fractions

Add:

$6 \frac{3}{5} + 7 \frac{1}{2} + 4 \frac{3}{5}$

Possible Answers:

$18 \frac{7}{10}$

$18 \frac{3}{10}$

$18 \frac{1}{10}$

$17 \frac{7}{10}$

Correct answer:

$18 \frac{7}{10}$

Explanation:

Rewrite each fraction with the least common denominator, which is LCM (2,5) = 10 :

$6 \frac{3}{5} + 7 \frac{1}{2} + 4 \frac{3}{5} = 6 \frac{6}{10} + 7 \frac{5}{10} + 4 \frac{6}{10}$

We can add vertically, adding the fractions and the whole numbers:

$6 \frac{6}{10}$

$+ 7 \frac{5}{10}$

$+\underline{ 4 \frac{6}{10}}$

$17 \frac{17}{10} = 17 + 1 \frac{7}{10} = 18 \frac{7}{10}$

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Example Question #12 : How To Add Fractions

Add:

$\frac{2}{5} + \frac{7}{10} + \frac{17}{20}$

Possible Answers:

$1 \frac{ 9}{20}$

$2\frac{ 1}{20}$

$1 \frac{13}{20}$

$1 \frac{19}{20}$

Correct answer:

$1 \frac{19}{20}$

Explanation:

Rewrite using the least common denominator, which is LCM (5,10,20) = 20 ; then add numerators:

$\frac{2}{5} + \frac{7}{10} + \frac{17}{20}$

$= \frac{2\times 4}{5\times 4} + \frac{7\times 2}{10\times 2} + \frac{17}{20}$

$= \frac{8}{20} + \frac{14}{20} + \frac{17}{20}$

$= \frac{8+14+17}{20} = \frac{39}{20} = 1 \frac{19}{20}$

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Example Question #13 : How To Add Fractions

Evaluate:

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

Possible Answers:

$4\frac{5}{6}$

$4\frac{1}{6}$

$4\frac{2}{3}$

$5 \frac{1}{3}$

Correct answer:

$4\frac{5}{6}$

Explanation:

Rewrite each as an improper fraction, then as a fraction in terms of the least common denominator, which is LCM (2,3) = 6 :

$5 \frac{1}{2} =\frac{11}{2} = \frac{33}{6}$

$4 \frac{1}{3} = \frac{13}{3} = \frac{26}{6}$

$3 \frac{2}{3} = \frac{11}{3}= \frac{22}{6}$

Rewrite the expression, evaluate it, and rewrite the result as a mixed number:

$5 \frac{1}{2}- 4 \frac{1}{3} +3 \frac{2}{3}= \frac{33}{6} - \frac{26}{6} + \frac{22}{6} = \frac{33- 26+22}{6} = \frac{7+22}{6} = \frac{29}{6} = 4 \frac{5}{6}$

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Example Question #452 : Numbers And Operations

Find the sum:

$\frac{2}{10}+\frac{5}{10}=$

Possible Answers:

$\frac{7}{10}$

$\frac{10}{100}$

$\frac{3}{10}$

$\frac{1}{10}$

Correct answer:

$\frac{7}{10}$

Explanation:

Since the denominators of the two fractions are the same, we can simply add the numerators:

$\frac{2}{10}+\frac{5}{10}=\frac{7}{10}$

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Example Question #453 : Numbers And Operations

Find the sum:

$\frac{6}{20}+\frac{7}{20}=$

Possible Answers:

$\frac{1}{20}$

$\frac{13}{40}$

$\frac{13}{20}$

$\frac{6}{40}$

Correct answer:

$\frac{13}{20}$

Explanation:

Since the denominators of the two fractions are the same, we can simply add the numerators:

$\frac{6}{20}+\frac{7}{20}=\frac{13}{20}$

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Example Question #454 : Numbers And Operations

Find the sum:

$\frac{6}{50}+\frac{11}{50}=$

Possible Answers:

$\frac{66}{2500}$

$\frac{66}{50}$

$\frac{17}{50}$

$\frac{17}{100}$

Correct answer:

$\frac{17}{50}$

Explanation:

Since the denominators of the two fractions are the same, we can simply add the numerators:

$\frac{6}{50}+\frac{11}{50}=\frac{17}{50}$

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Example Question #12 : How To Add Fractions

Solve:

$\frac{2}{9}+\frac{3}{4}=$

Possible Answers:

$\frac{35}{36}$

$\frac{5}{36}$

$\frac{5}{13}$

$\frac{6}{36}$

Correct answer:

$\frac{35}{36}$

Explanation:

Find the least common denominator between and . In this case, it is .

$\frac{2}{9}=\frac{8}{36}$

$\frac{3}{4}=\frac{27}{36}$

$\frac{8}{36}+\frac{27}{36}=\frac{35}{36}$

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Example Question #455 : Numbers And Operations

$\frac{5}{20}+\frac{4}{20}=$

Possible Answers:

$\frac{1}{20}$

$\frac{15}{20}$

$\frac{9}{20}$

$\frac{54}{20}$

Correct answer:

$\frac{9}{20}$

Explanation:

Add the numerators and keep the denominator:

$\frac{5}{20}+\frac{4}{20}=\frac{9}{20}$

Answer: $\frac{9}{20}$

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Example Question #461 : Numbers And Operations

$\frac{6}{35}+\frac{17}{35}=$

Possible Answers:

$\frac{23}{35}$

$\frac{34}{35}$

$\frac{32}{35}$

$\frac{11}{35}$

Correct answer:

$\frac{23}{35}$

Explanation:

Add the numerators and keep the denominator:

$\frac{6}{35}+\frac{17}{35}=\frac{23}{35}$

Answer: $\frac{23}{35}$

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HSPT Math : HSPT Mathematics

Study concepts, example questions & explanations for HSPT Math

All HSPT Math Resources

Example Questions

Example Question #111 : Fractions

Example Question #205 : Fractions

Example Question #12 : How To Add Fractions

Example Question #13 : How To Add Fractions

Example Question #452 : Numbers And Operations

Example Question #453 : Numbers And Operations

Example Question #454 : Numbers And Operations

Example Question #12 : How To Add Fractions

Example Question #455 : Numbers And Operations

Example Question #461 : Numbers And Operations

All HSPT Math Resources

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