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ISEE Middle Level Math : How to add fractions

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

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All ISEE Middle Level Math Resources

6 Diagnostic Tests 303 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #692 : Numbers And Operations

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

Possible Answers:

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

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

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

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

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 #693 : Numbers And Operations

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

Possible Answers:

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

$\displaystyle 99$

$\displaystyle 37$

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

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 #694 : Numbers And Operations

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

Possible Answers:

$\displaystyle 1$

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

$\displaystyle 19$

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

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 #695 : Numbers And Operations

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

Possible Answers:

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

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

$\displaystyle 1$

$\displaystyle 2$

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 #701 : Numbers And Operations

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

Possible Answers:

$\displaystyle 13$

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

$\displaystyle 1$

$\displaystyle 11$

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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Example Question #1353 : Isee Middle Level (Grades 7 8) Mathematics Achievement

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

Possible Answers:

$\frac{19}{28}$ $\displaystyle \frac{19}{28}$

$\frac{4}{11}$ $\displaystyle \frac{4}{11}$

$\frac{3}{28}$ $\displaystyle \frac{3}{28}$

$\frac{3}{19}$ $\displaystyle \frac{3}{19}$

Correct answer:

$\frac{19}{28}$ $\displaystyle \frac{19}{28}$

Explanation:

The least common denominator of $\displaystyle 7$ and $\displaystyle 4$ is $\displaystyle 28$.

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

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

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

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Example Question #21 : How To Add Fractions

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

Possible Answers:

$\displaystyle 11$

$\displaystyle 41$

$\frac{19}{75}$ $\displaystyle \frac{19}{75}$

$\frac{41}{75}$ $\displaystyle \frac{41}{75}$

Correct answer:

$\frac{41}{75}$ $\displaystyle \frac{41}{75}$

Explanation:

Add the numerators and keep the denominator the same:

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

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

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Example Question #22 : How To Add Fractions

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

Possible Answers:

$\frac{71}{80}$ $\displaystyle \frac{71}{80}$

$\frac{7}{8}$ $\displaystyle \frac{7}{8}$

$\frac{51}{80}$ $\displaystyle \frac{51}{80}$

$\frac{20}{80}$ $\displaystyle \frac{20}{80}$

Correct answer:

$\frac{71}{80}$ $\displaystyle \frac{71}{80}$

Explanation:

Add the numerators and keep the denominator the same:

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

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

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Example Question #23 : How To Add Fractions

Add the fractions below.

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

Possible Answers:

$\frac{9}{5}$ $\displaystyle \frac{9}{5}$

$\frac{18}{5}$ $\displaystyle \frac{18}{5}$

$\frac{11}{10}$ $\displaystyle \frac{11}{10}$

$\frac{3}{2}$ $\displaystyle \frac{3}{2}$

$\frac{11}{15}$ $\displaystyle \frac{11}{15}$

Correct answer:

$\frac{3}{2}$ $\displaystyle \frac{3}{2}$

Explanation:

First, we need to find a common denominator. In this case, we can convert both denominators to $\displaystyle 10$.

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

Now we can add the numerators.

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

Both the numerator and denominator are divisible by $\displaystyle 5$, so we can simplify.

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

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Example Question #24 : How To Add Fractions

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

Possible Answers:

$\displaystyle 1$

$\displaystyle 23$

$\frac{23}{24}$ $\displaystyle \frac{23}{24}$

$\displaystyle 24$

$\frac{7}{24}$ $\displaystyle \frac{7}{24}$

Correct answer:

$\frac{23}{24}$ $\displaystyle \frac{23}{24}$

Explanation:

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

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

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

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All ISEE Middle Level Math Resources

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ISEE Middle Level Math : How to add fractions

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

All ISEE Middle Level Math Resources

Example Questions

Example Question #692 : Numbers And Operations

Example Question #693 : Numbers And Operations

Example Question #694 : Numbers And Operations

Example Question #695 : Numbers And Operations

Example Question #701 : Numbers And Operations

Example Question #1353 : Isee Middle Level (Grades 7 8) Mathematics Achievement

Example Question #21 : How To Add Fractions

Example Question #22 : How To Add Fractions

Example Question #23 : How To Add Fractions

Example Question #24 : How To Add Fractions

All ISEE Middle Level Math Resources

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