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Math Fundamentals
Fractions II: Addition and Subtraction

1
Least Common Multiple

Problem 1
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Stephanie cc
Stephanie
Gordon cc
Gordon
Julieta cc spanish language icon
Julieta
Problem 2
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Stephanie cc
Stephanie
Gordon cc
Gordon
Julieta cc spanish language icon
Julieta
Problem 3
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Stephanie cc
Stephanie
Gordon cc
Gordon
Julieta cc spanish language icon
Julieta
Problem 4
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Stephanie cc
Stephanie
Gordon cc
Gordon
Julieta cc spanish language icon
Julieta
Problem 5

Find the LCD for the fractions \(\displaystyle\frac{5}{12}\) and \(\displaystyle\frac{7}{18}\).

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Gordon cc
Gordon
Molly M. cc
Molly M.
Preston cc
Preston
Edwin cc spanish language icon
Edwin
Problem 6

Find the LCD for \(\displaystyle\frac{3}{4}\) and \(\displaystyle\frac{1}{6}\).

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Mr. McKeague cc
Mr. McKeague
Molly S. cc
Molly S.
Aaron cc
Aaron
Edwin cc spanish language icon
Edwin
Problem 7

Find the LCD for the fractions, then write each fraction as an equivalent fraction with the LCD. Then write them in order from smallest to largest.
\(\displaystyle\frac{5}{8}\qquad \displaystyle\frac{5}{16}\qquad \displaystyle\frac{3}{4}\qquad \displaystyle\frac{1}{2}\)

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Aaron cc
Aaron
Lauren cc
Lauren
Edwin cc spanish language icon
Edwin

2
Addition and Subtraction with Fractions

Problem 1
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Molly S. cc
Molly S.
Matt cc
Matt
Edwin cc spanish language icon
Edwin
Problem 2

Add: \(\displaystyle\frac{5}{12}+\displaystyle\frac{7}{18}\)

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Molly M. cc
Molly M.
Preston cc
Preston
Edwin cc spanish language icon
Edwin
Problem 3

Add: \(\displaystyle\frac{3}{4}+\displaystyle\frac{1}{6}\)

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Mr. McKeague cc
Mr. McKeague
Stefanie cc
Stefanie
Preston cc
Preston
Edwin cc spanish language icon
Edwin
Problem 4

Subtract: \(\displaystyle\frac{7}{15}-\displaystyle\frac{3}{10}\)

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Lauren cc
Lauren
Preston cc
Preston
Edwin cc spanish language icon
Edwin
Problem 5

Subtract: \(\displaystyle\frac{3}{5}-\displaystyle\frac{1}{6}\)

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Molly M. cc
Molly M.
Preston cc
Preston
Edwin cc spanish language icon
Edwin
Problem 6

Add: \(\displaystyle\frac{1}{6}+\displaystyle\frac{1}{8}+\displaystyle\frac{1}{4}\)

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Molly M. cc
Molly M.
Preston cc
Preston
Edwin cc spanish language icon
Edwin
Problem 7

Subtract: \(3-\displaystyle\frac{5}{6}\)

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Lauren cc
Lauren
Preston cc
Preston
Edwin cc spanish language icon
Edwin
Problem 8
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Stephanie
Stephanie
Gordon
Gordon
Problem 9
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Stephanie
Stephanie
Gordon
Gordon

3
Addition and Subtraction with Mixed Numbers

Problem 1

Add: \(3\displaystyle\frac{2}{3}+4\displaystyle\frac{1}{5}\)

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Arielle cc
Arielle
Matt cc
Matt
Cynthia cc spanish language icon
Cynthia
Problem 2

Add: \(5\displaystyle\frac{3}{4}+9\displaystyle\frac{5}{6}\)

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Molly M. cc
Molly M.
Aaron cc
Aaron
Cynthia cc spanish language icon
Cynthia
Problem 3

Add: \(5\dfrac{2}{3}+6\dfrac{8}{9}\)

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Mrs. Mooney cc
Mrs. Mooney
Stephanie cc
Stephanie
Aaron cc
Aaron
Cynthia spanish language icon
Cynthia
Problem 4

Add: \(3\dfrac{1}{4}+2\dfrac{3}{5}+1\dfrac{9}{10}\)

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Lauren cc
Lauren
Aaron cc
Aaron
Cynthia cc spanish language icon
Cynthia
Problem 5

Subtract: \(3\dfrac{9}{10}-1\dfrac{3}{10}\)

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Lauren cc
Lauren
Aaron cc
Aaron
Cynthia cc spanish language icon
Cynthia
Problem 6

Subtract: \(12\displaystyle\frac{7}{10}-8\displaystyle\frac{3}{5}\)

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Betsy cc
Betsy
Matt cc
Matt
Cynthia cc spanish language icon
Cynthia
Problem 7

Subtract: \(10-5\displaystyle\frac{2}{7}\)

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Molly M. cc
Molly M.
Matt cc
Matt
Cynthia cc spanish language icon
Cynthia
Problem 8

Subtract: \(8\dfrac{1}{4}-3\dfrac{3}{4}\)

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Lauren cc
Lauren
Aaron cc
Aaron
Cynthia cc spanish language icon
Cynthia
Problem 9

Subtract: \(4\dfrac{3}{4}-1\dfrac{5}{6}\)

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Lauren cc
Lauren
Aaron cc
Aaron
Cynthia cc spanish language icon
Cynthia

4
Exponents and Order of Operations with Fractions

Problem 1

Simplify: \(\left(\displaystyle\frac{3}{4}\right)^2\)

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Lauren cc
Lauren
Matt cc
Matt
Anthony spanish language icon
Anthony
Problem 2

Simplify: \(\left(\displaystyle\frac{5}{6}\right)^2 \cdot \displaystyle\frac{1}{2}\)

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Lauren cc
Lauren
Cynthia cc spanish language icon
Cynthia
Problem 3
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Stephanie
Stephanie
Gordon
Gordon
Problem 4

What is the quotient of \(\displaystyle\frac{8}{3}\) and \(\displaystyle\frac{1}{6}\), increased by \(5\).

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Lauren cc
Lauren
Preston cc
Preston
Anthony cc spanish language icon
Anthony
Problem 5

Simplify \(32\div \left(\displaystyle\frac{4}{3}\right)^2 +75\div \left(\displaystyle\frac{5}{2}\right)^2\)

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Lauren cc
Lauren
Preston cc
Preston
Cynthia cc spanish language icon
Cynthia
Problem 6

Simplify: \(5+\left(2\displaystyle\frac{1}{2}\right)\cdot\left(3\displaystyle\frac{2}{3}\right)\)

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Arielle cc
Arielle
Stephanie cc
Stephanie
Matt cc
Matt
Cynthia cc spanish language icon
Cynthia
Problem 7

Simplifty: \[\left(\frac{3}{4}+\frac{5}{8}\right)\left(2\frac{3}{8}+1\frac{1}{4}\right)\]

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Lauren cc
Lauren
Aaron cc
Aaron
Cynthia cc spanish language icon
Cynthia
Problem 8

Simplify: \(\displaystyle\frac{3}{5}+\displaystyle\frac{1}{2}\left(3\displaystyle\frac{2}{3}+4\displaystyle\frac{1}{3}\right)^2\)

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Molly M. cc
Molly M.
Matt cc
Matt
Cynthia cc spanish language icon
Cynthia

5
Complex Fractions

Problem 1

Simplify: \(\displaystyle\frac{\displaystyle\frac{3}{4}}{\displaystyle\frac{5}{6}}\)

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Lauren cc
Lauren
Rachel cc
Rachel
Matt cc
Matt
Cynthia cc spanish language icon
Cynthia
Problem 2

Simplify: \(\displaystyle\frac{\displaystyle\frac{1}{2}+\displaystyle\frac{2}{3}}{\displaystyle\frac{3}{4}-\displaystyle\frac{1}{6}}\)

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Mr. McKeague cc
Mr. McKeague
Molly M. cc
Molly M.
Aaron cc
Aaron
Cynthia cc spanish language icon
Cynthia
Problem 3

Simplify: \(\displaystyle\frac{3+\displaystyle\frac{1}{2}}{2-\displaystyle\frac{3}{4}}\)

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Mr. McKeague cc
Mr. McKeague
Molly M. cc
Molly M.
Aaron cc
Aaron
Cynthia cc spanish language icon
Cynthia
Problem 4

Simplify: \(\displaystyle\frac{10\displaystyle\frac{1}{3}}{8\displaystyle\frac{2}{3}}\)

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Lauren cc
Lauren
Matt cc
Matt
Cynthia cc spanish language icon
Cynthia