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HSPT Math : Fractions

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Example Questions

Example Question #26 : How To Add Fractions

Solve:
$\frac{1}{4}+\frac{3}{7}=$

Possible Answers:

$\frac{3}{19}$

$\frac{4}{11}$

$\frac{3}{28}$

$\frac{19}{28}$

Correct answer:

$\frac{19}{28}$

Explanation:

The least common denominator of and is .

$\frac{1}{4}=\frac{7}{28}$

$\frac{3}{7}=\frac{12}{28}$

$\frac{7}{28}+\frac{12}{28}=\frac{19}{28}$

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Example Question #24 : How To Add Fractions

$\frac{30}{75}+\frac{11}{75}=$

Possible Answers:

$\frac{19}{75}$

$\frac{41}{75}$

Correct answer:

$\frac{41}{75}$

Explanation:

Add the numerators and keep the denominator the same:

$\frac{30}{75}+\frac{11}{75}=\frac{41}{75}$

Answer: $\frac{41}{75}$

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Example Question #25 : How To Add Fractions

$\frac{51}{80}+\frac{20}{80}=$

Possible Answers:

$\frac{7}{8}$

$\frac{51}{80}$

$\frac{71}{80}$

$\frac{20}{80}$

Correct answer:

$\frac{71}{80}$

Explanation:

Add the numerators and keep the denominator the same:

$\frac{51}{80}+\frac{20}{80}=\frac{71}{80}$

Answer: $\frac{71}{80}$

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Example Question #45 : How To Add Fractions

Add the fractions below.

$\frac{4}{5} + \frac{7}{10}$

Possible Answers:

$\frac{3}{2}$

$\frac{11}{10}$

$\frac{9}{5}$

$\frac{11}{15}$

$\frac{18}{5}$

Correct answer:

$\frac{3}{2}$

Explanation:

First, we need to find a common denominator. In this case, we can convert both denominators to .

$\frac{4}{5} + \frac{7}{10} = (\frac{4 }{5 }*\frac{2}{2}) + \frac{7}{10} = \frac{8}{10} + \frac{7}{10}$

Now we can add the numerators.

$\frac{8}{10}+\frac{7}{10}=\frac{15}{10}$

Both the numerator and denominator are divisible by , so we can simplify.

$\frac{15}{10}= \frac{15\div 5}{10\div 5}= \frac{3}{2}$

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Example Question #26 : How To Add Fractions

Add: $\frac{15}{24}+\frac{8}{24}=$

Possible Answers:

$\frac{23}{24}$

$\frac{7}{24}$

Correct answer:

$\frac{23}{24}$

Explanation:

To solve, add the numerators and leave the denominators the same:

$\frac{15}{24}+\frac{8}{24}=\frac{23}{24}$

Answer: $\frac{23}{24}$

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Example Question #41 : How To Add Fractions

Add: $\frac{26}{78}+\frac{15}{78}=$

Possible Answers:

$\frac{11}{78}$

$\frac{41}{78}$

$\frac{41}{156}$

Correct answer:

$\frac{41}{78}$

Explanation:

To solve, add the numerators and leave the denominators the same:

$\frac{26}{78}+\frac{15}{78}=\frac{41}{78}$

Answer: $\frac{41}{78}$

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Example Question #42 : How To Add Fractions

Add:

$\frac{5}{17}+\frac{11}{17}=$

Possible Answers:

$\frac{6}{17}$

$\frac{16}{17}$

Correct answer:

$\frac{16}{17}$

Explanation:

Add the numerators and keep the denominator the same:

$\frac{5}{17}+\frac{11}{17}=\frac{16}{17}$

Answer: $\frac{16}{17}$

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Example Question #43 : How To Add Fractions

Add:

$\frac{30}{90}+\frac{27}{90}=$

Possible Answers:

$\frac{80}{90}$

$\frac{3}{90}$

$\frac{50}{90}$

$\frac{57}{90}$

Correct answer:

$\frac{57}{90}$

Explanation:

Add the numerators and keep the denominator the same:

$\frac{30}{90}+\frac{27}{90}=\frac{57}{90}$

Answer: $\frac{57}{90}$

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Example Question #34 : How To Add Fractions

Solve the equation.

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

Possible Answers:

$\frac{3}{5}$

$\frac{2}{10}$

$\frac{7}{10}$

$\frac{3}{10}$

Correct answer:

$\frac{7}{10}$

Explanation:

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

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

Answer: $\frac{7}{10}$

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Example Question #135 : Fractions

Solve the equation:

$\frac{25}{70}+\frac{10}{70}=$

Possible Answers:

$\frac{3}{7}$

$\frac{1}{2}$

$\frac{15}{70}$

Correct answer:

$\frac{1}{2}$

Explanation:

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

$\frac{25}{70}+\frac{10}{70}=\frac{35}{70}$

This fraction can be reduced by dividing both the numerator and denominator by a common factor.

$\frac{35}{70}=\frac{35\div35}{70\div35}=\frac{1}{2}$

Answer: $\frac{1}{2}$

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HSPT Math : Fractions

Study concepts, example questions & explanations for HSPT Math

All HSPT Math Resources

Example Questions

Example Question #26 : How To Add Fractions

Example Question #24 : How To Add Fractions

Example Question #25 : How To Add Fractions

Example Question #45 : How To Add Fractions

Example Question #26 : How To Add Fractions

Example Question #41 : How To Add Fractions

Example Question #42 : How To Add Fractions

Example Question #43 : How To Add Fractions

Example Question #34 : How To Add Fractions

Example Question #135 : Fractions

All HSPT Math Resources

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