Unit 4: Adding & Subtracting Common Fractions

# Unit 4 Review

1. $\dfrac{1}{3} + \dfrac{1}{3} =$
2. $\dfrac{3}{7} + \dfrac{2}{7} =$
3. $\dfrac{4}{5} + \dfrac{1}{5} =$
4. $\dfrac{3}{8} + \dfrac{1}{8} =$
5. $\dfrac{4}{8} + \dfrac{2}{8} =$
6. $\dfrac{1}{12} + \dfrac{3}{12} =$
7. $\dfrac{3}{7} + \dfrac{5}{7} =$
8. $\dfrac{7}{21} + \dfrac{7}{21} =$
1. $\dfrac{1}{3} + \dfrac{3}{6} =$
2. $\dfrac{1}{2} + \dfrac{2}{5} =$
3. $\dfrac{1}{4} + \dfrac{1}{3} =$
4. $\dfrac{3}{5} + \dfrac{3}{4} =$
5. $\dfrac{3}{7} + \dfrac{6}{8} =$
6. $\dfrac{1}{2} + \dfrac{13}{16} =$
7. $\dfrac{1}{8} + \dfrac{1}{3} =$
8. $\dfrac{3}{4} + \dfrac{8}{9} =$
3. Add. Express the sum in lowest terms.
1. $6\dfrac{3}{5} + 2\dfrac{3}{7} =$
2. $3\dfrac{1}{4} + 4\dfrac{1}{2} =$
3. $3\dfrac{3}{8} + 4\dfrac{1}{4} =$
4. $8\dfrac{1}{5} + 1\dfrac{2}{7} =$
5. $1\dfrac{14}{15} + 3\dfrac{1}{3} =$
6. $4\dfrac{2}{3} + 1\dfrac{1}{4} =$
7. $12\dfrac{1}{2} + 1\dfrac{1}{3} =$
8. $9\dfrac{2}{5} + 1\dfrac{7}{10} =$
9. $9\dfrac{4}{5} + 3\dfrac{1}{7} =$
10. $2\dfrac{1}{5} + 7\dfrac{4}{15} =$
1. $\begin{array}{rr}&\dfrac{2}{5}\\-&\dfrac{1}{5}\\\hline\end{array}$
2. $\begin{array}{rr}&\dfrac{5}{8}\\-&\dfrac{1}{8}\\\hline\end{array}$
3. $\begin{array}{rr}&\dfrac{2}{3}\\-&\dfrac{1}{3}\\\hline\end{array}$
4. $\begin{array}{rr}&\dfrac{5}{12}\\-&\dfrac{3}{12}\\\hline\end{array}$
1. $\begin{array}{rr}&\dfrac{17}{22}\\-&\dfrac{6}{22}\\\hline\end{array}$
2. $\begin{array}{rr}&\dfrac{3}{4}\\-&\dfrac{1}{2}\\\hline\end{array}$
3. $\begin{array}{rr}&\dfrac{3}{4}\\-&\dfrac{1}{12}\\\hline\end{array}$
4. $\begin{array}{rr}&\dfrac{9}{10}\\-&\dfrac{4}{5}\\\hline\end{array}$
5. $\begin{array}{rr}&\dfrac{1}{2}\\-&\dfrac{3}{8}\\\hline\end{array}$
6. $\begin{array}{rr}&\dfrac{15}{16}\\-&\dfrac{3}{8}\\\hline\end{array}$
7. $\begin{array}{rr}&\dfrac{9}{16}\\-&\dfrac{1}{8}\\\hline\end{array}$
8. $\begin{array}{rr}&\dfrac{1}{6}\\-&\dfrac{1}{12}\\\hline\end{array}$
1. $\begin{array}{rr}&20\dfrac{2}{4}\\-&10\dfrac{3}{4}\\\hline\end{array}$
2. $\begin{array}{rr}&1\dfrac{2}{3}\\-&\dfrac{5}{6}\\\hline\end{array}$
3. $\begin{array}{rr}&4\\-&\dfrac{1}{5}\\\hline\end{array}$
4. $\begin{array}{rr}&4\dfrac{1}{5}\\-&1\dfrac{2}{5}\\\hline\end{array}$
5. $\begin{array}{rr}&5\dfrac{1}{3}\\-&\dfrac{2}{3}\\\hline\end{array}$
6. $\begin{array}{rr}&9\dfrac{3}{5}\\-&4\dfrac{4}{5}\\\hline\end{array}$
1. $\begin{array}{rr}&15\dfrac{1}{6}\\-&3\dfrac{2}{5}\\\hline\end{array}$
2. $\begin{array}{rr}&7\\-&4\dfrac{1}{3}\\\hline\end{array}$
3. $\begin{array}{rr}&9\dfrac{1}{4}\\-&7\dfrac{5}{8}\\\hline\end{array}$
4. $\begin{array}{rr}&13\dfrac{1}{4}\\-&3\dfrac{4}{9}\\\hline\end{array}$
5. $\begin{array}{rr}&13\\-&1\dfrac{1}{5}\\\hline\end{array}$
6. $\begin{array}{rr}&7\dfrac{1}{3}\\-&4\dfrac{5}{6}\\\hline\end{array}$
7. $\begin{array}{rr}&18\dfrac{1}{6}\\-&14\dfrac{2}{9}\\\hline\end{array}$
8. $\begin{array}{rr}&4\dfrac{3}{5}\\-&3\dfrac{3}{4}\\\hline\end{array}$
9. $\begin{array}{rr}&22\\-&1\dfrac{7}{12}\\\hline\end{array}$
10. $\begin{array}{rr}&19\dfrac{1}{8}\\-&14\dfrac{1}{3}\\\hline\end{array}$
8. Solve the following problems.
1. Cheryl walks for $\tfrac{1}{2}$ of an hour on Tuesdays and Thursdays, and $\tfrac{2}{3}$ of an hour on Mondays and Wednesdays.  On Fridays, Saturdays and Sundays, she walks for $1\tfrac{1}{4}$ hours each day.  How much time does she walk each week?
2. The car trip took $2\tfrac{2}{3}$ hours for 300km.  What was the average speed (in km per hour)?
3. The kids spent each day of their summer vacation in the lake! They would play in the water for $\tfrac{3}{4}$ of an hour in the morning,  $\tfrac{2}{3}$ of an hour after lunch, and then $1\tfrac{1}{2}$ hours before dinner. How many hours did they spend in the water during their 14 day vacation?
4. A freight truck has $26\tfrac{1}{4}$  kg of paper, $4\tfrac{3}{6}$ kg of pencils, $37\tfrac{1}{3}$ kg of file folders.  How much weight was it carrying?
5. A flight from Fort Nelson to Vancouver takes $2\tfrac{5}{6}$ of an hour. If the plane has been flying for $1\tfrac{1}{4}$ of an hour, how much longer will the flight be?
6. According to Statistics Canada, Terrace’s annual rain fall is $970\tfrac{6}{25}$  mm, and Smithers’ annual rainfall is $513\tfrac{1}{4}$  mm, how much more rain does Terrace get than Smithers each year?
7.  A park is 121/2 km wide and 251/3 km long.  What is the area of the park?

# Answers to Unit 4 Review

1. $\dfrac{2}{3}$
2. $\dfrac{5}{7}$
3. 1
4. $\dfrac{1}{2}$
5. $\dfrac{3}{4}$
6. $\dfrac{1}{3}$
7. $1\dfrac{1}{7}$
8. $\dfrac{2}{3}$
1. $\dfrac{5}{6}$
2. $\dfrac{9}{10}$
3. $\dfrac{7}{12}$
4. $1\dfrac{7}{20}$
5. $1\dfrac{5}{28}$
6. $1\dfrac{5}{16}$
7. $\dfrac{11}{24}$
8. $\dfrac{59}{72}$
9. $1\dfrac{29}{63}$
10. $\dfrac{47}{60}$
1. $9\dfrac{1}{35}$
2. $7\dfrac{3}{4}$
3. $7\dfrac{5}{8}$
4. $9\dfrac{17}{35}$
5. $5\dfrac{4}{15}$
6. $5\dfrac{11}{12}$
7. $13\dfrac{5}{6}$
8. $11\dfrac{1}{10}$
9. $12\dfrac{33}{35}$
10. $9\dfrac{7}{15}$
1. $\dfrac{1}{5}$
2. $\dfrac{1}{2}$
3. $\dfrac{1}{3}$
4. $\dfrac{1}{6}$
1. $\dfrac{1}{2}$
2. $\dfrac{1}{4}$
3. $\dfrac{2}{3}$
4. $\dfrac{1}{10}$
5. $\dfrac{1}{8}$
6. $5\dfrac{9}{16}$
7. $5\dfrac{7}{16}$
8. $\dfrac{1}{12}$
1. $9\dfrac{3}{4}$
2. $\dfrac{5}{6}$
3. $3\dfrac{4}{5}$
4. $2\dfrac{4}{5}$
5. $4\dfrac{2}{3}$
6. $4\dfrac{4}{5}$
1. $11\dfrac{23}{30}$
2. $2\dfrac{2}{3}$
3. $1\dfrac{5}{8}$
4. $9\dfrac{29}{36}$
5. $11\dfrac{4}{5}$
6. $2\dfrac{1}{2}$
7. $3\dfrac{17}{18}$
8. $\dfrac{17}{20}$
9. $20\dfrac{5}{12}$
10. $4\dfrac{19}{24}$
1. Cheryl walked $6\tfrac{1}{12}$ hours each week.
2. The average was  $112\tfrac{1}{2}$ km/hour
3. $40\tfrac{5}{6}$ hours in the lake
4. $68\tfrac{1}{12}$ kg
5. $1\tfrac{7}{12}$ hours left on the flight
6.  Terrace gets $456\tfrac{99}{100}$ cm more rain per year than Smithers.
7. $316\tfrac{2}{3}$ km2

It is now test time!

Once you are ready, you can get the Unit 4 test from your instructor.

Good luck!