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HSPT Math : Fractions

Study concepts, example questions & explanations for HSPT Math

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Example Questions

Example Question #121 : Fractions

Find the sum:

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

Possible Answers:

$\frac{1}{10}$ $\displaystyle \frac{1}{10}$

$\frac{7}{10}$ $\displaystyle \frac{7}{10}$

$\frac{10}{100}$ $\displaystyle \frac{10}{100}$

$\frac{3}{10}$ $\displaystyle \frac{3}{10}$

Correct answer:

$\frac{7}{10}$ $\displaystyle \frac{7}{10}$

Explanation:

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

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

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Example Question #122 : Fractions

Find the sum:

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

Possible Answers:

$\frac{1}{20}$ $\displaystyle \frac{1}{20}$

$\frac{6}{40}$ $\displaystyle \frac{6}{40}$

$\frac{13}{40}$ $\displaystyle \frac{13}{40}$

$\frac{13}{20}$ $\displaystyle \frac{13}{20}$

Correct answer:

$\frac{13}{20}$ $\displaystyle \frac{13}{20}$

Explanation:

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

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

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Example Question #123 : Fractions

Find the sum:

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

Possible Answers:

$\frac{66}{50}$ $\displaystyle \frac{66}{50}$

$\frac{17}{100}$ $\displaystyle \frac{17}{100}$

$\frac{17}{50}$ $\displaystyle \frac{17}{50}$

$\frac{66}{2500}$ $\displaystyle \frac{66}{2500}$

Correct answer:

$\frac{17}{50}$ $\displaystyle \frac{17}{50}$

Explanation:

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

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

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Example Question #124 : Fractions

Solve:

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

Possible Answers:

$\frac{35}{36}$ $\displaystyle \frac{35}{36}$

$\frac{5}{36}$ $\displaystyle \frac{5}{36}$

$\frac{5}{13}$ $\displaystyle \frac{5}{13}$

$\frac{6}{36}$ $\displaystyle \frac{6}{36}$

Correct answer:

$\frac{35}{36}$ $\displaystyle \frac{35}{36}$

Explanation:

Find the least common denominator between $\displaystyle 9$ and $\displaystyle 4$. In this case, it is $\displaystyle 36$.

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

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

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

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Example Question #125 : Fractions

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

Possible Answers:

$\frac{54}{20}$ $\displaystyle \frac{54}{20}$

$\frac{1}{20}$ $\displaystyle \frac{1}{20}$

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

$\frac{15}{20}$ $\displaystyle \frac{15}{20}$

Correct answer:

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

Explanation:

Add the numerators and keep the denominator:

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

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

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Example Question #126 : Fractions

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

Possible Answers:

$\frac{32}{35}$ $\displaystyle \frac{32}{35}$

$\frac{34}{35}$ $\displaystyle \frac{34}{35}$

$\displaystyle \frac{11}{35}$

$\displaystyle \frac{23}{35}$

Correct answer:

$\displaystyle \frac{23}{35}$

Explanation:

Add the numerators and keep the denominator:

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

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

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Example Question #127 : Fractions

$\frac{32}{99}+\frac{5}{99}=$ $\displaystyle \frac{32}{99}+\frac{5}{99}=$

Possible Answers:

$\frac{27}{99}$ $\displaystyle \frac{27}{99}$

$\frac{37}{99}$ $\displaystyle \frac{37}{99}$

$\displaystyle 99$

$\displaystyle 37$

Correct answer:

$\frac{37}{99}$ $\displaystyle \frac{37}{99}$

Explanation:

Add the numerators and keep the denominator the same:

$\frac{32}{99}+\frac{5}{99}=\frac{37}{99}$ $\displaystyle \frac{32}{99}+\frac{5}{99}=\frac{37}{99}$

Answer: $\frac{37}{99}$ $\displaystyle \frac{37}{99}$

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Example Question #128 : Fractions

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

Possible Answers:

$\frac{5}{19}$ $\displaystyle \frac{5}{19}$

$\displaystyle 19$

$\frac{18}{19}$ $\displaystyle \frac{18}{19}$

$\displaystyle 1$

Correct answer:

$\displaystyle 1$

Explanation:

Add the numerators and keep the denominator the same. Then, simplify:

$\frac{12}{19}+\frac{7}{19}=\frac{19}{19}=1$ $\displaystyle \frac{12}{19}+\frac{7}{19}=\frac{19}{19}=1$

Answer: $\displaystyle 1$

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Example Question #129 : Fractions

$\frac{22}{29}+\frac{36}{29}=$ $\displaystyle \frac{22}{29}+\frac{36}{29}=$

Possible Answers:

$\displaystyle 2$

$\frac{10}{29}$ $\displaystyle \frac{10}{29}$

$\frac{32}{29}$ $\displaystyle \frac{32}{29}$

$\displaystyle 1$

Correct answer:

$\displaystyle 2$

Explanation:

Add the numerators and keep the denominator the same. Then, reduce:

$\frac{22}{29}+\frac{36}{29}=\frac{58}{29}=2$ $\displaystyle \frac{22}{29}+\frac{36}{29}=\frac{58}{29}=2$

Answer: $\displaystyle 2$

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Example Question #130 : Fractions

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

Possible Answers:

$\displaystyle 13$

$\displaystyle 1$

$\displaystyle 11$

$\frac{1}{13}$ $\displaystyle \frac{1}{13}$

Correct answer:

$\displaystyle 1$

Explanation:

Add the numerators and keep the denominator; then, reduce:

$\frac{6}{13}+\frac{7}{13}=\frac{13}{13}=1$ $\displaystyle \frac{6}{13}+\frac{7}{13}=\frac{13}{13}=1$

Answer: $\displaystyle 1$

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HSPT Math : Fractions

Study concepts, example questions & explanations for HSPT Math

All HSPT Math Resources

Example Questions

Example Question #121 : Fractions

Example Question #122 : Fractions

Example Question #123 : Fractions

Example Question #124 : Fractions

Example Question #125 : Fractions

Example Question #126 : Fractions

Example Question #127 : Fractions

Example Question #128 : Fractions

Example Question #129 : Fractions

Example Question #130 : Fractions

All HSPT Math Resources

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