Fractions and Decimals Test

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Fractions and Decimals Test - 16

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Weekly Quiz Competition

Question 1
1 / -0

\({2\over 5} \times 5 {1\over 5}\) is equal to:

A
\(26\over 25\)

B
\(52\over 25\)

C
\(2\over 5\)

D
6

Solution

Given, \({2\over 5} \times 5 {1\over 5}\)

\(5 {1\over 5} = {( 5 \times 5) + 1\over 5}\)

\(= {{25+1}\over 5} = {26\over5}\)

\({2\over5} \times {5 {1\over5}} \)

\({2\over 5} \times {26\over5} = {52\over25}\)
Question 2
1 / -0

\(3 {3\over4} \div {3\over 4}\) is equal to:

A
3

B
4

C
5

D
\(\frac{45}{16}\)

Solution

Given, \(3 \frac{3}{4} + \frac{3}{4}\)

\(3 \frac{3}{4}\) = \({(3 \times 4) + 3} \over 4\)

= \((12 + 3)\over 4\)

= \(\frac {15}{4}\)

\(3 \frac{3}{4} + \frac{3}{4}\)

= \(\frac{15}{4} \times \frac{4}{3}\)

= 5
Question 3
1 / -0

A ribbon of length \(5 \frac{1}{4}\) m is cut into small pieces each of length \(\frac{3}{4}\) m. Number of pieces will be:

A
5

B
6

C
7

D
8

Solution

Number of pieces = \(\frac{Total\, length\, of\, ribbon\,}{Length\, of\, one\, piece\,}\)

= \((5 \frac{1}{4}) \over(\frac{3}{4})\)

= \([{{(5 \times4) + 1 \over4}\over \frac{3}{4}}]\)

= \((\frac{21}{4}) \over (\frac{3}{4})\)

= \(\frac{21}{4} \times \frac{4}{3}\)

= 7
Question 4
1 / -0

Reciprocal of the fraction \(\frac{2}{3}\) is:

A
2

B
3

C
\(\frac{2}{3}\)

D
\(\frac{3}{2}\)

Solution

The reciprocal of a non-zero fraction is obtained by interchanging its numerator and denominator.

Hence, the reciprocal of \(\frac{2}{3}\, is \frac {3}{2} \)
Question 5
1 / -0

The product of \(\frac{11}{13}\) and 4 is:

A
\(3 \frac{5}{13}\)

B
\(5 \frac{3}{13}\)

C
\(13 \frac{3}{5}\)

D
\(13 \frac{5}{3}\)

Solution

We have, \(\frac{11}{13} \times 4\)

\(\frac{11}{13} \times 4 = \frac{44}{13}\)

= \(3 \frac{5}{13}\)

Hence, the product of \(\frac{11}{13}\) and 4 is \(3 \frac{5}{13}\)
Question 6
1 / -0

The product of 3 and \(4 \frac{2}{5}\) is:

A
\(17 \frac{2}{5}\)

B
\(\frac {24}{5}\)

C
\(13 \frac{1}{5}\)

D
\(5 \frac{1}{13}\)

Solution

Given, \(3 \times 4 \frac{2}{5}\)

\(4 \frac{2}{5} = {(4 \times5) + 2\over 5} = \frac{22}{5}\)

\(3 \times 4\frac{2}{5} = {3 \times \frac{22}{5}} = \frac{66}{5} = 13 \frac {1}{5}\)

Hence, the product of 3 and \(4 \frac{2}{5} is 13 \frac{1}{5}\)
Question 7
1 / -0

\(\frac{1}{5} \div \frac{4}{5}\) equal to:

A
\(\frac{4}{5}\)

B
\(\frac{1}{5}\)

C
\(\frac {5}{4}\)

D
\(\frac{1}{4}\)

Solution

Given,

\(\frac{1}{5} \div \frac{4}{5} = \frac{1}{5} \times \frac{5}{4}\)

= \(\frac{1}{4}\)
Question 8
1 / -0

The product of \(0.03 \times 0.9\) is:

A
2.7

B
0.27

C
0.027

D
0.0027

Solution

Given, \(0.03 \times 0.9\)

Here, \(3 \times9 = 27 \)

Sum of the decimal places to the right of the decimal point is 0.03 and 0.9 is 3.

So, \(0.03 \times 0.9 = 0.027\)
Question 9
1 / -0

\(\frac{5}{7} \div 6\) is equal to:

A
\(\frac {30}{7}\)

B
\(\frac {5}{42}\)

C
\(\frac {30}{42}\)

D
\(\frac {6}{7}\)

Solution

Given, \(\frac{5}{7} \div 6\) = \(\frac{5}{7} \times \frac{1}{6}\)

= \(\frac{5}{42}\)
Question 10
1 / -0

On dividing 7 by \(\frac{2}{5}\), the result is

A
\(\frac{14}{2}\)

B
\(\frac{35}{4}\)

C
\(\frac{14}{5}\)

D
\(\frac{35}{2}\)

Solution

Given, \(7 \div \frac{2}{5} = 7 \times \frac{5}{2}\)

= \(\frac{35}{2}\)

Hence, on dividing 7 by \(\frac{2}{5}\) we get \(\frac{35}{2}.\)
Question 11
1 / -0

\(2 \frac{2}{3} \div 5 \) is equal to

A
\(\frac{8}{15}\)

B
\(\frac{40}{3}\)

C
\(\frac{40}{5}\)

D
\(\frac{8}{3}\)

Solution

Given,

\(2 \frac{2}{3}\div 5\)

= \({(2 \times 3) + 2\over 3} {\div 5}\)

= \({{6+2}\over3} \div 5\)

= \(\frac{8}{3} \times \frac{1}{5}\)

= \(\frac{8}{15}\)

Hence, \(2 \frac{2}{3} \div 5\) is equal to \(\frac{8}{15}.\)
Question 12
1 / -0

\(\frac{9}{7} \times 6\) = ..............

A
\(\frac{15}{7}\)

B
\(\frac{54}{7}\)

C
\(\frac{51}{7}\)

D
\(\frac{57}{7}\)

Solution

\(\frac{9}{7} \times 6\)

= \(\frac{54}{7}\)
Question 13
1 / -0

\(\frac{1}{2}\, of\, 10\) = ...............

A
8

B
20

C
5

D
12

Solution

\(\frac{1}{2}\, of\, 10\)

= \(\frac{1}{2}\, \times 10\)

= 5
Question 14
1 / -0

A __________ is a fraction that represents a part of a whole.

A
proper fraction

B
improper fraction

C
mixed fraction

D
None of these

Solution

A mixed fraction is a fraction that represents a part of a whole.

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Re-Attempt Weekly Quiz Competition

Fractions and Decimals Test - 16

Result

Fractions and Decimals Test - 16

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SHARING IS CARING

Question 1

\(26\over 25\)

\(52\over 25\)

\(2\over 5\)

6

Solution

Question 2

3

4

5

\(\frac{45}{16}\)

Solution

Question 3

5

6

7

8

Solution

Question 4

2

3

\(\frac{2}{3}\)

\(\frac{3}{2}\)

Solution

Question 5

\(3 \frac{5}{13}\)

\(5 \frac{3}{13}\)

\(13 \frac{3}{5}\)

\(13 \frac{5}{3}\)

Solution

Question 6

\(17 \frac{2}{5}\)

\(\frac {24}{5}\)

\(13 \frac{1}{5}\)

\(5 \frac{1}{13}\)

Solution

Question 7

\(\frac{4}{5}\)

\(\frac{1}{5}\)

\(\frac {5}{4}\)

\(\frac{1}{4}\)

Solution

Question 8

2.7

0.27

0.027

0.0027

Solution

Question 9

\(\frac {30}{7}\)

\(\frac {5}{42}\)

\(\frac {30}{42}\)

\(\frac {6}{7}\)

Solution

Question 10

\(\frac{14}{2}\)

\(\frac{35}{4}\)

\(\frac{14}{5}\)

\(\frac{35}{2}\)

Solution

Question 11

\(\frac{8}{15}\)

\(\frac{40}{3}\)

\(\frac{40}{5}\)

\(\frac{8}{3}\)

Solution

Question 12

\(\frac{15}{7}\)

\(\frac{54}{7}\)

\(\frac{51}{7}\)

\(\frac{57}{7}\)

Solution