Fractions and Decimals Test

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Fractions and Decimals Test - 30

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Weekly Quiz Competition

Question 1
1 / -0

Example of improper fraction is ________

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

B
$$\displaystyle \frac{1}{2}$$

C
$$\displaystyle \frac{23}{22}$$

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

Solution

When the numerator is greater than the denominator, it is called an improper fraction.
So only $$\dfrac{23}{22}$$ is an improper fraction.
Hence, the answer is $$\dfrac{23}{22}$$.
Question 2
1 / -0

Example of proper fraction is _________

A
$$\displaystyle \frac{5}{7}$$

B
$$\displaystyle \frac{4}{3}$$

C
$$\displaystyle \frac{16}{15}$$

D
$$\displaystyle \frac{22}{21}$$

Solution

When the numerator is less than the denominator, it is called a proper fraction.
So only $$\dfrac{5}{7}$$ is a proper fraction.
Hence, the answer is $$\dfrac{5}{7}$$.
Question 3
1 / -0

$$\displaystyle 1\frac{3}{4}$$ is a _______ fraction.

A
Proper

B
improper

C
mixed

D
None of the above

Solution

$$1\dfrac{3}{4}$$ is a mixed fraction because it has both integer and a proper fraction.
Hence, the answer is 'mixed'.
Question 4
1 / -0

A boy weighs 56.74 kg. If his father is 1.5 times heavier than his son, then the weight of the father is ..........

A
85 kg

B
85.11 kg

C
85.20 kg

D
85.15 kg

Solution

Weight of Boy=$$56.74kg$$
Given that his father is $$1.5$$ times heavier than his son.
so, weight of father=$$1.5\times56.74$$
$$=\cfrac{15}{10}$$$$\times$$ $$\cfrac{5674}{100}=$$ $$\cfrac{85110}{1000}=85.110=85.11 kg$$
Question 5
1 / -0

Find the product
$$\displaystyle 0.123\times 100$$

A
$$1.23$$

B
$$123$$

C
$$12.3$$

D
$$1230$$

Solution

To find $$0.123\times 100$$
Since, $$100$$ has $$2$$ zeros and $$0.123$$ has decimal point after $$3$$ digits
So, the product will have decimal point after $$1$$ digit from left
Therefore, value of $$0.123\times 100$$ is $$12.3$$.
Question 6
1 / -0

Find the product:
$$\displaystyle 16.89\times 1000$$

A
$$1689$$

B
$$16809$$

C
$$16890$$

D
$$168.9$$

Solution

To fnd $$16.89\times 1000$$
Since, $$1000$$ has $$3$$ zeros and $$16.89$$ has decimal point after $$2$$ digits
So, the product will have no decimal points and zero at the end
Therefore, value of $$16.89\times 1000$$ is $$16890$$.
Question 7
1 / -0

Find the product
$$\displaystyle 7.854\times 10$$

A
$$785.4$$

B
$$78.54$$

C
$$7854$$

D
$$78540$$

Solution

To find $$7.854\times 10$$
Since, $$10$$ has $$1$$ zero and $$7.854$$ has decimal point after $$3$$ digits
So, the product will have decimal point after $$2$$ digits from left
Therefore, value of $$7.854\times 10$$ is $$78.54$$.
Question 8
1 / -0

Solve the given expression:
$$\displaystyle 9.826\div 10$$

A
$$98.26$$

B
$$982.6$$

C
$$0.09826$$

D
$$0.9826$$

Solution

So, the number of digits after decimal point will increase by $$1$$
The division of $$9.826$$ by $$10$$ is
$$\therefore \dfrac{9.826}{10}$$ $$=0.9826$$
Question 9
1 / -0

Convert $$\dfrac{7}{4}$$ into mixed fraction.

A
$$1\dfrac{3}{4}$$

B
$$2\dfrac{3}{4}$$

C
$$6\dfrac{3}{4}$$

D
None of the above

Solution

$$\dfrac{7}{4}=1\dfrac{3}{4}$$

So, option A is correct.
Question 10
1 / -0

$$ \displaystyle \frac{2}{7} $$ of a week $$=$$ _____ days

A
$$7$$

B
$$3$$

C
$$4$$

D
$$2$$

Solution

One week has $$7$$ days
So, $$\dfrac{2}{7} $$ of a week $$=\dfrac{2}{7}\times 7=2$$ days.
Hence, the answer is $$2$$.

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Re-Attempt Weekly Quiz Competition

Fractions and Decimals Test - 30

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Fractions and Decimals Test - 30

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Question 1

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

$$\displaystyle \frac{1}{2}$$

$$\displaystyle \frac{23}{22}$$

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

Solution

Question 2

$$\displaystyle \frac{5}{7}$$

$$\displaystyle \frac{4}{3}$$

$$\displaystyle \frac{16}{15}$$

$$\displaystyle \frac{22}{21}$$

Solution

Question 3

Proper

improper

mixed

None of the above

Solution

Question 4

85 kg

85.11 kg

85.20 kg

85.15 kg

Solution

Question 5

$$1.23$$

$$123$$

$$12.3$$

$$1230$$

Solution

Question 6

$$1689$$

$$16809$$

$$16890$$

$$168.9$$

Solution

Question 7

$$785.4$$

$$78.54$$

$$7854$$

$$78540$$

Solution

Question 8

$$98.26$$

$$982.6$$

$$0.09826$$

$$0.9826$$

Solution

Question 9

$$1\dfrac{3}{4}$$

$$2\dfrac{3}{4}$$

$$6\dfrac{3}{4}$$

None of the above

Solution

Question 10

$$7$$

$$3$$

$$4$$

$$2$$

Solution

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