CTJan27 Online Year 7 - Unlike Fractions Addition and Subtraction
Student Name
Student Email
1
Calculate the value of the expression: $\frac{1}{2} + \frac{1}{3} + \frac{1}{4} + \frac{1}{6}$.
$1\frac{1}{3}$
$\frac{11}{12}$
$1\frac{1}{4}$
$1\frac{5}{12}$
2
Simplify the following expression: $\frac{3}{5} - \frac{1}{10} + \frac{2}{3} - \frac{1}{6}$.
$\frac{29}{30}$
$\frac{14}{15}$
$1\frac{1}{30}$
$1$
3
Evaluate: $\frac{5}{8} + \frac{1}{4} - \frac{1}{6} + \frac{3}{12}$.
$1\frac{1}{24}$
$$\frac{23}{24}$$
$$\frac{17}{24}$$
$$\frac{19}{24}$$
4
Find the result of: $\frac{1}{2} + \frac{1}{5} + \frac{1}{10} - \frac{1}{4} - \frac{1}{20}$.
$$\frac{1}{2}$$
$$\frac{3}{5}$$
$$\frac{1}{4}$$
$$\frac{9}{20}$$
5
What is the simplified value of $\frac{7}{9} - \frac{1}{3} + \frac{2}{18} + \frac{1}{6}$?
$$\frac{7}{9}$$
$$\frac{5}{6}$$
$$\frac{11}{18}$$
$$\frac{13}{18}$$
6
Calculate: $1\frac{1}{3} + \frac{1}{6} - \frac{1}{2} + \frac{5}{12}$.
$$\frac{11}{12}$$
$1\frac{5}{12}$
$1\frac{1}{2}$
$1\frac{1}{4}$
7
Determine the result of: $\frac{11}{15} - \frac{3}{10} + \frac{1}{5} + \frac{1}{30}$.
$$\frac{2}{3}$$
$$\frac{1}{2}$$
$$\frac{4}{5}$$
$$\frac{19}{30}$$
8
Simplify: $\frac{7}{12} + \frac{1}{8} + \frac{1}{4} - \frac{1}{3}$.
$$\frac{7}{8}$$
$$\frac{1}{2}$$
$$\frac{5}{8}$$
$$\frac{13}{24}$$
9
Calculate: $\frac{9}{10} - \frac{1}{2} - \frac{1}{5} + \frac{3}{4} - \frac{1}{20}$.
$$1$$
$$\frac{9}{10}$$
$$\frac{17}{20}$$
$$\frac{7}{10}$$
10
Evaluate the mixed operations: $2\frac{1}{4} - 1\frac{1}{6} + \frac{5}{12} + \frac{1}{3}$.
$1\frac{5}{6}$
$1\frac{1}{2}$
$2\frac{1}{6}$
$1\frac{11}{12}$
11
Find the sum: $\frac{1}{10} + \frac{3}{4} + \frac{1}{5} + \frac{1}{2}$.
$1\frac{9}{20}$
$1\frac{3}{5}$
$1\frac{1}{4}$
$1\frac{11}{20}$
12
What is the result of $\frac{13}{14} - \frac{1}{2} + \frac{1}{7} - \frac{1}{28}$?
$$\frac{15}{28}$$
$$\frac{13}{28}$$
$$\frac{1}{2}$$
$$\frac{17}{28}$$
13
Simplify: $\frac{2}{9} + \frac{1}{3} - \frac{1}{18} + \frac{5}{6}$.
$1\frac{5}{18}$
$1\frac{2}{9}$
$1\frac{1}{3}$
$1\frac{1}{6}$
14
Calculate: $\frac{1}{3} + \frac{1}{4} + \frac{1}{5} - \frac{1}{6}$.
$$\frac{47}{60}$$
$$\frac{37}{60}$$
$$\frac{31}{60}$$
$$\frac{9}{20}$$
15
Evaluate: $3\frac{1}{2} - 1\frac{3}{4} + \frac{1}{8} + \frac{5}{16}$.
$2\frac{1}{16}$
$2\frac{7}{16}$
$2\frac{5}{16}$
$2\frac{3}{16}$
16
Find the result of: $\frac{5}{6} + \frac{1}{2} + \frac{1}{3} + \frac{1}{4} + \frac{1}{12}$.
$2$
$1\frac{11}{12}$
$1\frac{5}{6}$
$2\frac{1}{4}$
17
Determine the value of: $\frac{1}{2} - \frac{3}{8} - \frac{1}{4} + \frac{7}{16} + \frac{1}{32}$.
$$\frac{19}{32}$$
$$\frac{7}{16}$$
$$\frac{11}{32}$$
$$\frac{9}{32}$$
18
Calculate and simplify: $\frac{9}{20} + \frac{1}{5} + \frac{3}{4} - \frac{1}{50}$.
$1\frac{19}{50}$
$1\frac{17}{50}$
$1\frac{3}{4}$
$1\frac{7}{100}$
19
What is the simplified result of $4\frac{1}{5} - 1\frac{1}{2} + \frac{3}{10} - \frac{1}{5}$?
$2\frac{7}{10}$
$2\frac{4}{5}$
$3\frac{1}{10}$
$2\frac{3}{5}$
20
Evaluate the expression: $\frac{2}{3} + \frac{1}{9} - \frac{1}{2} + \frac{5}{18} + \frac{1}{6}$.
$$\frac{7}{9}$$
$$\frac{5}{6}$$
$$\frac{11}{18}$$
$$\frac{13}{18}$$
21
Calculate the value of the expression: $\frac{1}{2} - \frac{1}{3} + \frac{1}{4} - \frac{1}{6}$.
$\frac{1}{4}$
$\frac{1}{3}$
$\frac{5}{12}$
$\frac{1}{2}$
22
Simplify: $-\frac{3}{5} + \frac{1}{10} - \frac{1}{2} + \frac{4}{5}$.
$\frac{1}{5}$
$-\frac{3}{10}$
$0$
$-\frac{1}{5}$
23
Evaluate the following sum and difference: $\frac{5}{12} + \frac{1}{6} - \frac{3}{4} - \frac{1}{3}$.
$-\frac{7}{12}$
$\frac{1}{2}$
$-\frac{1}{4}$
$-\frac{1}{2}$
24
Find the result of: $-\frac{1}{8} - \frac{1}{4} - \frac{3}{2} - \frac{1}{16}$.
$-\frac{15}{8}$
$-\frac{31}{16}$
$-\frac{29}{16}$
$\frac{1}{16}$
25
Calculate: $\frac{7}{15} - \frac{2}{5} + \frac{1}{3} - \frac{1}{6}$.
$\frac{1}{30}$
$\frac{7}{30}$
$\frac{1}{6}$
$-\frac{7}{30}$
26
What is the value of $1 - \frac{1}{9} - \frac{2}{3} + \frac{5}{18}$?
$\frac{1}{3}$
$\frac{11}{18}$
$\frac{1}{2}$
$\frac{1}{18}$
27
Simplify the expression: $-\frac{3}{4} + \frac{1}{12} - \frac{1}{6} + \frac{5}{8}$.
$\frac{5}{24}$
$-\frac{1}{8}$
$-\frac{5}{24}$
$\frac{7}{24}$
28
Calculate: $\frac{1}{2} + \frac{2}{3} - \frac{4}{5} - \frac{1}{6}$.
$-\frac{1}{5}$
$\frac{2}{5}$
$\frac{1}{10}$
$\frac{1}{5}$
29
Combine the fractions: $-\frac{1}{7} + \frac{3}{14} - \frac{1}{28} + \frac{1}{4}$.
$\frac{1}{4}$
$\frac{3}{14}$
$\frac{1}{7}$
$\frac{2}{7}$
30
Determine the result of: $\frac{2}{3} - \frac{1}{6} - \frac{1}{2} + \frac{4}{9}$.
$\frac{1}{3}$
$\frac{5}{18}$
$\frac{4}{9}$
$0$
31
Subtract and add the following: $-\frac{5}{6} + \frac{1}{4} - \frac{1}{12} - \frac{2}{3}$.
$-1$
$\frac{1}{4}$
$-\frac{5}{6}$
$-\frac{4}{3}$
32
What is the simplified value of $\frac{1}{10} - \frac{7}{5} + \frac{1}{2} - \frac{3}{4}$?
$-\frac{11}{20}$
$\frac{31}{20}$
$-1$
$-\frac{31}{20}$
33
Find the sum: $-\frac{4}{5} + \frac{1}{25} - \frac{3}{10} + \frac{1}{2}$.
$\frac{14}{25}$
$-\frac{3}{10}$
$-\frac{14}{25}$
$-\frac{7}{50}$
34
Calculate the total value: $\frac{5}{8} + \frac{1}{2} - \frac{1}{4} + \frac{3}{16}$.
$\frac{15}{16}$
$\frac{17}{16}$
$1$
$\frac{19}{16}$
35
Evaluate: $\frac{1}{3} - \frac{1}{4} + \frac{1}{5} - \frac{1}{6}$.
$\frac{1}{12}$
$\frac{11}{60}$
$\frac{7}{60}$
$\frac{1}{10}$
36
A builder used $\frac{1}{2}$ metric ton of sand for the foundation and $\frac{1}{3}$ metric ton of gravel for the driveway. What is the total weight of the materials used?
$\frac{5}{6}$ metric ton
$\frac{2}{5}$ metric ton
$\frac{1}{6}$ metric ton
$\frac{3}{4}$ metric ton
37
Sarah had $\frac{3}{4}$ yard of fabric. She used $\frac{1}{6}$ yard to make a doll's dress. How much fabric does she have left?
$\frac{1}{2}$ yard
$\frac{7}{12}$ yard
$\frac{2}{12}$ yard
$\frac{5}{6}$ yard
38
A baker mixed $\frac{3}{8}$ cup of wheat flour with $\frac{5}{6}$ cup of white flour. How many cups of flour did he use in total?
$1\frac{1}{24}$ cups
$\frac{8}{14}$ cups
$\frac{1}{2}$ cup
$1\frac{1}{8}$ cups
39
A full pitcher holds $1$ gallon of iced tea. If Jake drank $\frac{3}{10}$ gallon and Mia drank $\frac{1}{5}$ gallon, how much iced tea remains in the pitcher?
$\frac{7}{10}$ gallon
$\frac{1}{2}$ gallon
$\frac{4}{15}$ gallon
$\frac{3}{5}$ gallon
40
Mark ran $\frac{7}{9}$ kilometers and Alex ran $\frac{2}{3}$ kilometers. How much farther did Mark run than Alex?
$\frac{5}{9}$ km
$\frac{5}{6}$ km
$\frac{1}{9}$ km
$\frac{1}{3}$ km
41
A bucket contained $\frac{5}{6}$ liters of water. If $\frac{1}{4}$ liter evaporated and then $\frac{1}{3}$ liter was added back, how much water is in the bucket now?
$\frac{1}{2}$ liter
$\frac{11}{12}$ liter
$\frac{3}{4}$ liter
$\frac{7}{12}$ liter
42
To bake a cake, Nancy needs $\frac{3}{4}$ cup of milk and $\frac{5}{8}$ cup of water. What is the total volume of liquid required?
$1\frac{3}{8}$ cups
$1\frac{1}{4}$ cups
$\frac{8}{12}$ cups
$\frac{1}{2}$ cup
43
A train traveled $\frac{1}{2}$ of the journey, then stopped. It then covered another $\frac{1}{5}$ of the journey, and finally $\frac{3}{10}$ of the journey. What fraction of the total journey did the train cover?
$\frac{9}{10}$
$\frac{3}{17}$
$1$
$\frac{7}{10}$
44
John finished $\frac{2}{3}$ of his homework assignment. Later, he completed another $\frac{1}{4}$ of the assignment. How much of the assignment is still incomplete?
$\frac{11}{12}$
$\frac{5}{12}$
$\frac{1}{12}$
$\frac{1}{7}$
45
A recipe calls for $1\frac{3}{5}$ cups of flour. If I only have $\frac{1}{4}$ cup, how much more flour do I need?
$1\frac{7}{20}$ cups
$1\frac{1}{20}$ cups
$\frac{1}{5}$ cup
$1\frac{17}{20}$ cups
46
During a science experiment, two chemical solutions were mixed: $\frac{4}{9}$ L of Solution A and $\frac{1}{3}$ L of Solution B. How many total liters of mixed solution were produced?
$\frac{5}{12}$ L
$\frac{7}{9}$ L
$1$ L
$\frac{2}{3}$ L
47
A bookshelf is $\frac{5}{6}$ full of books. If $\frac{1}{5}$ of the books are removed, what fraction of the bookshelf remains full?
$\frac{19}{30}$
$\frac{4}{11}$
$\frac{17}{30}$
$\frac{23}{30}$
48
Alice spent $\frac{3}{4}$ hour on math and $\frac{2}{5}$ hour on science homework. What is the total time she spent on homework?
$1\frac{3}{20}$ hours
$\frac{5}{9}$ hours
$1\frac{7}{20}$ hours
$\frac{1}{4}$ hour
49
A road crew repaired $\frac{7}{8}$ km of road. They used $\frac{1}{4}$ km of asphalt and $\frac{1}{6}$ km of concrete mix. How much of the repaired road was paved with other materials?
$\frac{13}{24}$ km
$\frac{11}{24}$ km
$\frac{5}{8}$ km
$\frac{1}{3}$ km
50
A rope measured $2\frac{1}{3}$ meters long. If $\frac{1}{5}$ meter was cut off, how long is the remaining rope?
$2\frac{2}{15}$ meters
$1\frac{14}{15}$ meters
$2\frac{1}{15}$ meters
$1\frac{1}{2}$ meters
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