Fractions and Decimals Test

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Fractions and Decimals Test - 29

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Weekly Quiz Competition

Question 1
1 / -0

Which of the following is a proper fraction?

A

B

C

D
All the above

Solution

We know that a proper fraction is a fraction that is less than $$1$$, with the numerator less than the denominator.

(a) In the given, rectangular object, there are a total of $$8$$ squares and $$4$$ of them are shaded, therefore, the fraction will be as follows:

$$\dfrac {Shaded}{Total}=\dfrac {4}{8}=\dfrac {1}{2}=0.5<1$$

Hence, $$\dfrac {1}{2}$$ is a proper fraction because the numerator is less than the denominator and the fraction is less than $$1$$

(b) In the given, rectangular object, there are a total of $$9$$ squares and $$6$$ of them are shaded, therefore, the fraction will be as follows:

$$\dfrac {Shaded}{Total}=\dfrac {6}{9}=\dfrac {2}{3}=0.66<1$$

Hence, $$\dfrac {2}{3}$$ is a proper fraction because the numerator is less than the denominator and the fraction is less than $$1$$

(a) In the given, triangular object, there are a total of $$4$$ triangles and $$1$$ of them is shaded, therefore, the fraction will be as follows:

$$\dfrac {Shaded}{Total}=\dfrac {1}{4}=0.25<1$$

Hence, $$\dfrac {1}{4}$$ is a proper fraction because the numerator is less than the denominator and the fraction is less than $$1$$

The result is that all the given options are proper fractions.
Question 2
1 / -0

$$58+\frac {3}{100}+\frac {7}{1000}= ......$$

A
58.0037

B
58.37

C
58.037

D
none of these

Solution

$$58+\frac {3}{100}+\frac {7}{1000}$$
$$=58+\frac {0}{10}+\frac {3}{100}+\frac {7}{1000}=58.037$$
Question 3
1 / -0

Mixed fraction for $$\displaystyle \frac{39}{12}$$ is

A
$$\displaystyle 3\tfrac{1}{12}$$

B
$$\displaystyle 3\tfrac{2}{12}$$

C
$$\displaystyle 3\tfrac{3}{12}$$

D
$$\displaystyle 2\tfrac{14}{12}$$

Solution

To convert an improper fraction to a mixed fraction, we divide the numerator by the denominator, then write down the whole number answer.

Finally we write down any remainder above the denominator.

$$39÷12=3$$ leaving remainder $$3$$

Therefore, the answer will be, $$3$$ whole $$\dfrac {3}{12}$$

Hence, the mixed fraction of $$\dfrac {39}{12}$$ is $$3\dfrac {3}{12}$$.
Question 4
1 / -0

Divide $$125.625$$ by $$0.5$$

A
$$251.25$$

B
$$2512.5$$

C
$$25125$$

D
$$25.125$$
Question 5
1 / -0

Which of the following is not an improper fraction?

A
$$\cfrac {4}{3}$$

B
$$\cfrac {3}{2}$$

C
$$\cfrac {5}{3}$$

D
$$\cfrac {7}{11}$$

Solution

Fractions that are greater than $$0$$ but less than $$1$$ are called proper fractions.

In proper fractions, the numerator is less than the denominator.

When a fraction has a numerator that is greater than or equal to the denominator, then the fraction is an improper fraction.

An improper fraction is always $$1$$ or greater than $$1$$.

Now looking at options

$$\dfrac{4}{3}=1.33 > 1$$

$$\dfrac{3}{2}= 1.5 > 1$$

$$\dfrac{5}{3}= 1.66 >1$$

$$\dfrac{7}{11}= 0.63 < 1$$

So $$\dfrac{7}{11}$$ is Not a Improper fraction.

So option $$D$$ is correct.
Question 6
1 / -0

$$\displaystyle \frac { 1 }{ 6 } $$ of 48 liter = ........ liter

A
7

B
1

C
8

D
6

Solution

$$\dfrac{1}{6}$$ of 48 liter
= $$\dfrac{1}{6}\times$$48 liter
=8 liter
Question 7
1 / -0

$$4\displaystyle \frac {7}{11}\, =\, \displaystyle \frac {?}{11}$$

A
44

B
7

C
51

D
28

Solution

$$4\displaystyle \frac {7}{11}\, =\, \displaystyle \frac {4\, \times\, 11\, +\, 7}{11}\, =\, \displaystyle \frac {51}{11}$$
Question 8
1 / -0

Product of $$\displaystyle 3.92\times 0.1\times 0.0\times 6.3$$ is:

A
$$0.392$$

B
$$0.1176$$

C
$$0$$

D
$$6.3$$

Solution

We know if we multiply $$0$$ by any number then result will be zero.
So the value of $$ 3.92\times .01\times 0.0\times 6.3=0$$
Hence, the answer is $$0$$.
Question 9
1 / -0

A generator consumes 2.875 litres of diesel per hour. The quantity of diesel required to run the generator far 24 hours is .............

A
45 litres

B
55 litres

C
72 irtres

D
69 litres

Solution
Question 10
1 / -0

A grasshopper can jump up to 91.4 cm in a single jump. if the grasshopper jumped 731.2 cm altogether, how many jumps did it make ?

A
17

B
8

C
9

D
12

Solution

Distance covered by grasshopper in one jump: $$91.4 cm$$
Total distance covered by grasshopper: $$731.2 cm$$

No. of jumps made = $$\dfrac{Total\quad distance \quad covered}{Distance\quad covered\quad in\quad one\quad jump}$$

= $$\dfrac{731.2}{91.4}$$

= $$8$$ jumps

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Fractions and Decimals Test - 29

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Fractions and Decimals Test - 29

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Question 1

All the above

Solution

Question 2

58.0037

58.37

58.037

none of these

Solution

Question 3

$$\displaystyle 3\tfrac{1}{12}$$

$$\displaystyle 3\tfrac{2}{12}$$

$$\displaystyle 3\tfrac{3}{12}$$

$$\displaystyle 2\tfrac{14}{12}$$

Solution

Question 4

$$251.25$$

$$2512.5$$

$$25125$$

$$25.125$$

Question 5

$$\cfrac {4}{3}$$

$$\cfrac {3}{2}$$

$$\cfrac {5}{3}$$

$$\cfrac {7}{11}$$

Solution

Question 6

7

1

8

6

Solution

Question 7

44

7

51

28

Solution

Question 8

$$0.392$$

$$0.1176$$

$$0$$

$$6.3$$

Solution

Question 9

45 litres

55 litres

72 irtres

69 litres

Solution

Question 10

17

8

9

12

Solution

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