Fractions - Class 4 - Mathematics
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Exercise 6.1 - Fractions | Cambridge Maths Milestone | Mathematics | Class 4
Look at the figures and write the fraction represented by the shaded part.
a.
b.
c.
a. $\frac{1}{6}$
b. $\frac{8}{16}$
c. $\frac{2}{8}$
Identify and circle the unit fractions from the following. $\frac{1}{11}, \frac{2}{8}, \frac{3}{4}, \frac{15}{11}, \frac{1}{8}, \frac{1}{3}$
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Sign up nowSort these fractions as proper, improper and mixed fractions. $\frac{7}{11}, \frac{9}{4}, \frac{3}{4}, \frac{12}{16}, \frac{5}{8}, \frac{7}{3}, 2 \frac{2}{3}, \frac{22}{10}, \frac{2}{4}, \frac{9}{8}, 5 \frac{3}{4}$
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Sign up nowWrite two like fractions for each of the following.
a. $\frac{2}{6}$
b. $\frac{1}{7}$
c. $\frac{1}{8}$
d. $\frac{2}{9}$
e. $\frac{6}{15}$
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Sign up nowWrite three equivalent fractions for the given fractions.
a. $\frac{1}{6}$
b. $\frac{1}{4}$
c. $\frac{5}{7}$
d. $\frac{2}{3}$
e. $\frac{3}{4}$
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Sign up nowFill in the boxes to make equivalent fractions.
a. $\frac{1}{6}=\frac{\square}{12}$
b. $\frac{6}{11}=\frac{24}{\square}$
c. $\frac{5}{9}=\frac{\square}{45}$
d. $\frac{2}{3}=\frac{12}{\square}$
e. $\frac{7}{9}=\frac{\square}{36}$
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Sign up nowExercise 6.2 - Fractions | Cambridge Maths Milestone | Mathematics | Class 4
Convert the following improper fractions to mixed fractions and vice versa.
a. $9 \frac{2}{3}$
b. $6 \frac{1}{2}$
c. $\frac{13}{5}$
d. $\frac{26}{4}$
e. $7 \frac{1}{4}$
f. $\frac{19}{2}$
g. $\frac{29}{3}$
h. $4 \frac{3}{5}$
The required conversions for each of the given fractions are as follows:
a. $ 9 \frac{2}{3} $ to improper fraction: $ \frac{29}{3} $
b. $ 6 \frac{1}{2} $ to improper fraction: $ \frac{13}{2} $
c. $ \frac{13}{5} $ to mixed fraction: $ 2 \frac{3}{5} $
d. $ \frac{26}{4} $ to mixed fraction: $ 6 \frac{1}{2} $
e. $ 7 \frac{1}{4} $ to improper fraction: $ \frac{29}{4} $
f. $ \frac{19}{2} $ to mixed fraction: $ 9 \frac{1}{2} $
g. $ \frac{29}{3} $ to mixed fraction: $ 9 \frac{2}{3} $
h. $ 4 \frac{3}{5} $ to improper fraction: $ \frac{23}{5} $
Reduce the following fractions to their lowest terms.
a. $\frac{18}{30}$
b. $\frac{10}{25}$
c. $\frac{15}{60}$
d. $\frac{32}{40}$
e. $\frac{15}{35}$
f. $\frac{12}{20}$
g. $\frac{20}{24}$
h. $\frac{40}{80}$
i. $\frac{21}{36}$
j. $\frac{14}{28}$
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Sign up nowExercise 6.3 - Fractions | Cambridge Maths Milestone | Mathematics | Class 4
Compare the fractions and use the correct sign $>,<$ or $=$.
a. $\frac{5}{7} \ldots \ldots \frac{4}{7}$
b. $\frac{1}{7} \ldots \ldots \frac{1}{14}$
c. $\frac{6}{10} \ldots \frac{9}{10}$
d. $\frac{1}{11} \ldots \ldots \frac{1}{6}$
e. $\frac{12}{13} \ldots \ldots \frac{5}{13}$
f. $\frac{1}{15} \ldots \frac{1}{16}$
Here's the comparison of the given fractions:
a. $$\frac{5}{7} > \frac{4}{7}$$
b. $$\frac{1}{7} > \frac{1}{14}$$
c. $$\frac{6}{10} < \frac{9}{10}$$
d. $$\frac{1}{11} < \frac{1}{6}$$
e. $$\frac{12}{13} > \frac{5}{13}$$
f. $$\frac{1}{15} > \frac{1}{16}$$
These comparisons are based on standard magnitudes of the fractions, where the greater the decimal value, the larger the fraction.
Check whether the following answers are correct or not. Write yes/no and identify the correct sign.
a. $\frac{6}{7}<\frac{4}{7}$
b. $\frac{1}{7}\ <\frac{1}{14}$
c. $\frac{8}{12}<\frac{9}{12}$
d. $\frac{1}{4}<\frac{1}{6}$
e. $\frac{12}{13} >\frac{8}{13}$
f. $\frac{1}{20}>\frac{1}{20}$
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Sign up nowWrite the following fractions in ascending order.
a. $\frac{3}{7}, \frac{4}{7}, \frac{2}{7}, \frac{1}{7}, \frac{17}{7}, \frac{14}{7}$
b. $\frac{1}{9}, \frac{4}{9}, \frac{3}{9}, \frac{5}{9}, \frac{9}{9}, \frac{7}{9}$
c. $\frac{1}{12}, \frac{9}{12}, 1 \frac{1}{12}, \frac{2}{12}, \frac{8}{12}$
d. $\frac{4}{6}, \frac{5}{6}, \frac{3}{6}, \frac{2}{6}, \frac{18}{6}, \frac{12}{6}$
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Sign up nowWrite the following fractions in descending order.
a. $\frac{5}{8}, \frac{19}{8}, \frac{3}{8}, \frac{40}{8}, \frac{4}{8}$
b. $\frac{8}{14}, \frac{7}{14}, \frac{2}{14}, \frac{1}{14}, \frac{5}{14}$
c. $\frac{1}{2}, \frac{2}{2}, \frac{5}{2}, \frac{0}{2}, \frac{3}{2}$
d. $\frac{4}{10}, \frac{20}{10}, \frac{10}{10}, \frac{1}{10}, \frac{5}{10}$
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Sign up nowExercise 6.4 - Fractions | Cambridge Maths Milestone | Mathematics | Class 4
Solve the following fractions.
a. $\frac{2}{9}+\frac{6}{9}=$
b. $\frac{12}{15}-\frac{7}{15}=\square$
d. $\frac{1}{7}+\frac{4}{7}=\square$
e. $\frac{6}{11}+\frac{3}{11}=\square$
C. $\frac{5}{8}-\frac{4}{8}=\square$
f. $\frac{8}{12}-\frac{2}{12}=\square$
Here are the solutions to the given fraction problems:
a. $$\frac{2}{9}+\frac{6}{9}=\frac{8}{9}$$
b. $$\frac{12}{15}-\frac{7}{15}=\frac{1}{3}$$
c. $$\frac{5}{8}-\frac{4}{8}=\frac{1}{8}$$
d. $$\frac{1}{7}+\frac{4}{7}=\frac{5}{7}$$
e. $$\frac{6}{11}+\frac{3}{11}=\frac{9}{11}$$
f. $$\frac{8}{12}-\frac{2}{12}=\frac{1}{2}$$
These results are computed based on standard arithmetic operations with fractions having common denominators.
Put the correct sign in the boxes ' + ' or ' - '.
a. $\frac{4}{7} \square \frac{1}{7}=\frac{3}{7}$
b. $\frac{7}{9} \square \frac{2}{9}=\frac{5}{9}$
c. $\frac{5}{10} \square \frac{4}{10}=\frac{9}{10}$
d. $\frac{3}{15} \square \frac{8}{15}=\frac{11}{15}$
e. $\frac{7}{13} \square \frac{5}{13}=\frac{12}{13}$
f. $\frac{12}{20} \square \frac{4}{20}=\frac{8}{20}$
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Sign up nowExercise 6.5 - Fractions | Cambridge Maths Milestone | Mathematics | Class 4
Sia and Nur went to the music class. Sia practised music for $\frac{4}{9}$ of an hour and Nur practised music for $\frac{7}{9}$ of an hour. Who practised for a longer time?
Sia practiced music for $$\frac{4}{9}$$ of an hour, and Nur practiced for $$\frac{7}{9}$$ of an hour.
Comparing the fractions, both have the same denominator, so we only need to compare the numerators. Nur has a larger numerator (7) than Sia (4), which means Nur practiced for a longer time.
Thus, Nur practiced for a longer time than Sia.
An electrician takes $\frac{9}{10}$ hours to repair a refrigerator and $\frac{7}{10}$ hours to repair a fan. Find out the total time taken by the electrician to repair both things.
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Sign up nowLeena was given $\frac{5}{6}$ slices of a pizza and Reena was given $\frac{3}{6}$ slices of a pizza. Find the total quantity of pizzas given to both.
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Sign up nowA piece of a cloth $\frac{7}{2} \mathrm{~m}$ long was cut into two pieces. One piece was $\frac{5}{2} \mathrm{~m}$ long. How long is the other piece?
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Sign up nowAkanksha bought $\frac{3}{5}$ litres of milk. She consumed $\frac{1}{5}$ litres of this milk. How much milk is left with her?
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Sign up nowChapter Review - Fractions | Cambridge Maths Milestone | Mathematics | Class 4
The fraction with 1 as the numerator is called
a. Proper fraction
b. Improper fraction
c. Unit fraction
d. Mixed fraction
A fraction with 1 as the numerator is called a unit fraction. This means the correct answer is:
c. Unit fraction
Two or more fractions with the same denominator are called
a. Unlike fractions
b. Like fractions
c. Unit fractions
d. Proper fractions
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