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HSPT Math : Arithmetic

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Example Questions

Example Question #13 : How To Subtract Fractions

1.2 t +3.2 = 5.36

Which of the following is equal to ?

Possible Answers:

$t= \frac{3}{2}$

$t= \frac{8}{5}$

$t= \frac{9}{5}$

$t= \frac{7}{4}$

Correct answer:

$t= \frac{9}{5}$

Explanation:

1.2 t +3.2 = 5.36

1.2 t +3.2- 3.2 = 5.36 - 3.2

1.2 t = 2.16

$1.2 t \div 1.2 = 2.16\div 1.2$

Move the decimal point in each over one place:

$t= 21.6 \div 1 2 =1.8$

Rewrite as a fraction:

$t= 1.8 = \frac{18}{10} = \frac{9}{5}$

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Example Question #14 : How To Subtract Fractions

Solve:

$\frac{3}{7}-\frac{2}{9}=$

Possible Answers:

$\frac{13}{63}$

$-\frac{1}{2}$

$\frac{1}{9}$

$\frac{6}{63}$

Correct answer:

$\frac{13}{63}$

Explanation:

Find the least common denominator:

The least common denominator of $\small 7$ and $\small 9$ is $\small 63$ .

$\frac{3}{7}=\frac{27}{63}$

$\frac{2}{9}=\frac{14}{63}$

$\frac{27}{63}-\frac{14}{63}=\frac{13}{63}$

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Example Question #461 : Arithmetic

Find the difference:

$\frac{11}{50}-\frac{4}{50}=$

Possible Answers:

$\frac{15}{50}$

$\frac{44}{2500}$

$\frac{7}{50}$

$\frac{4}{100}$

Correct answer:

$\frac{7}{50}$

Explanation:

Since the denominators of the two fractions are the same, we can simply subtract one numerator from the other:

$\frac{11}{50}-\frac{4}{50}=\frac{7}{50}$

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Example Question #462 : Arithmetic

Find the difference:

$\frac{9}{17}-\frac{2}{17}=$

Possible Answers:

$\frac{18}{289}$

$\frac{18}{34}$

$\frac{7}{17}$

$\frac{11}{17}$

Correct answer:

$\frac{7}{17}$

Explanation:

Since the denominators of the two fractions are the same, we can simply subtract one numerator from the other:

$\frac{9}{17}-\frac{2}{17}=\frac{7}{17}$

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Example Question #463 : Arithmetic

$\frac{17}{25}-\frac{11}{25}=$

Possible Answers:

$\frac{18}{25}$

$\frac{6}{25}$

$\frac{26}{25}$

$1\frac{1}{25}$

Correct answer:

$\frac{6}{25}$

Explanation:

Subtract the numerators and keep the denominator the same:

$\frac{17}{25}-\frac{11}{25}=\frac{6}{25}$

Answer:

$\frac{6}{25}$

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Example Question #464 : Arithmetic

$\frac{7}{14}-\frac{2}{14}=$

Possible Answers:

$\frac{11}{14}$

$\frac{9}{14}$

$\frac{5}{14}$

Correct answer:

$\frac{5}{14}$

Explanation:

Subtract the numerators and keep the denominator the same:

$\frac{7}{14}-\frac{2}{14}=\frac{5}{14}$

Answer:

$\frac{5}{14}$

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Example Question #465 : Arithmetic

$\frac{15}{30}-\frac{4}{30}=$

Possible Answers:

$\frac{11}{30}$

$\frac{19}{30}$

$\frac{30}{30}$

Correct answer:

$\frac{11}{30}$

Explanation:

Subtract the numerators and keep the denominator the same:

$\frac{15}{30}-\frac{4}{30}=\frac{11}{30}$

Answer:

$\frac{11}{30}$

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Example Question #466 : Arithmetic

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

Possible Answers:

$\frac{71}{80}$

$\frac{31}{80}$

Correct answer:

$\frac{31}{80}$

Explanation:

Subtract the numerators and keep the denominator the same:

$\frac{51}{80}-\frac{20}{80}=\frac{31}{80}$

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

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Example Question #467 : Arithmetic

$\frac{65}{90}-\frac{22}{90}=$

Possible Answers:

$\frac{89}{90}$

$\frac{43}{90}$

$\frac{87}{90}$

$\frac{1}2{}$

Correct answer:

$\frac{43}{90}$

Explanation:

Subtract the numerators and keep the denominator the same:

$\frac{65}{90}-\frac{22}{90}=\frac{43}{90}$

Answer: $\frac{43}{90}$

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Example Question #468 : Arithmetic

Subtract: $\frac{40}{80}-\frac{21}{80}=$

Possible Answers:

$\frac{61}{80}$

$\frac{19}{80}$

Correct answer:

$\frac{19}{80}$

Explanation:

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

$\frac{40}{80}-\frac{21}{80}=\frac{19}{80}$

Answer: $\frac{19}{80}$

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HSPT Math : Arithmetic

Study concepts, example questions & explanations for HSPT Math

All HSPT Math Resources

Example Questions

Example Question #13 : How To Subtract Fractions

Example Question #14 : How To Subtract Fractions

Example Question #461 : Arithmetic

Example Question #462 : Arithmetic

Example Question #463 : Arithmetic

Example Question #464 : Arithmetic

Example Question #465 : Arithmetic

Example Question #466 : Arithmetic

Example Question #467 : Arithmetic

Example Question #468 : Arithmetic

All HSPT Math Resources

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