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ISEE Middle Level Math : How to subtract fractions

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Example Questions

Example Question #11 : How To Subtract Fractions

Which of the following is equal to 4 - 2.8 ?

Possible Answers:

$\frac{5}{4}$

$\frac{8}{5}$

$\frac{6}{5}$

$\frac{11}{5}$

$\frac{9}{4}$

Correct answer:

$\frac{6}{5}$

Explanation:

Subtract vertically, making sure the decimal points line up.

4.0

$\underline{-2.8}$

1.2

This is twelve tenths; write this as a fraction and simplify:

$\frac{12}{10} = \frac{12\div 2}{10\div 2} = \frac{6}{5}$

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Example Question #12 : How To Subtract Fractions

$\frac{12}{3}-\frac{8}{3}=$

Possible Answers:

$1\frac{1}{3}$

$\frac{2}{3}$

$\frac{3}{4}$

$1\frac{2}{3}$

Correct answer:

$1\frac{1}{3}$

Explanation:

In order to subtract fractions we need to have a common denominator (the number on the bottom of each fractions). In this case we do have common denominators.

We need to then subtract the numerators, in this case 12-8=4 .

After subtracting the numerators we keep the denonimator the same.

$\frac{4}{3}$

This is known as an improper fraction because the numerator is greater than the denominator. So we need to rewrite into a mixed number. Fractions can also be read as division, meaning 4 divided by 3 is????

$1\frac{1}{3}$

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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 #15 : How To Subtract Fractions

Find the difference:

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

Possible Answers:

$\frac{7}{50}$

$\frac{44}{2500}$

$\frac{15}{50}$

$\frac{4}{100}$

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 #16 : How To Subtract Fractions

Find the difference:

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

Possible Answers:

$\frac{7}{17}$

$\frac{11}{17}$

$\frac{18}{34}$

$\frac{18}{289}$

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 #17 : How To Subtract Fractions

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

Possible Answers:

$\frac{26}{25}$

$1\frac{1}{25}$

$\frac{6}{25}$

$\frac{18}{25}$

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 #18 : How To Subtract Fractions

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

Possible Answers:

$\frac{5}{14}$

$\frac{9}{14}$

$\frac{11}{14}$

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 #19 : How To Subtract Fractions

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

Possible Answers:

$\frac{19}{30}$

$\frac{11}{30}$

$\frac{30}{30}$

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 #20 : How To Subtract Fractions

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

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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ISEE Middle Level Math : How to subtract fractions

Study concepts, example questions & explanations for ISEE Middle Level Math

All ISEE Middle Level Math Resources

Example Questions

Example Question #11 : How To Subtract Fractions

Example Question #12 : How To Subtract Fractions

Example Question #13 : How To Subtract Fractions

Example Question #14 : How To Subtract Fractions

Example Question #15 : How To Subtract Fractions

Example Question #16 : How To Subtract Fractions

Example Question #17 : How To Subtract Fractions

Example Question #18 : How To Subtract Fractions

Example Question #19 : How To Subtract Fractions

Example Question #20 : How To Subtract Fractions

All ISEE Middle Level Math Resources

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