Fractions Test

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Fractions Test - 17

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Weekly Quiz Competition

Question 1
1 / -0

Reduce fraction to lowest form:
$$\dfrac{125}{625}$$

A
$$\dfrac{1}{5}$$

B
$$\dfrac{12}{625}$$

C
$$\dfrac{5}{625}$$

D
$$\dfrac{15}{25}$$

Solution

$$\dfrac{125}{625}$$

Dividing numerator and denominator by $$25$$, we get
$$\dfrac{125}{625} = \dfrac{5}{25}$$

Dividing again both numerator and denominator by $$5$$, we get
$$\dfrac{5}{25} = \dfrac{1}{5}$$

This is the lowest form
Question 2
1 / -0

Reduce fraction to lowest form:
$$\dfrac{81}{36}$$

A
$$\dfrac{18}{2}$$

B
$$\dfrac{1}{36}$$

C
$$\dfrac{8}{36}$$

D
$$\dfrac{9}{4}$$

Solution

$$\dfrac{81}{36}$$

Dividing numerator and denominator by $$9$$, we get
$$\dfrac{81}{36} = \dfrac{9}{4}$$

This is the lowest form
Question 3
1 / -0

Which of these are improper fractional numbers?

A
$$\displaystyle\frac{2}{7}$$

B
$$\displaystyle\frac{7}{11}$$

C
$$\displaystyle\frac{13}{2}$$

D
$$\displaystyle\frac{7}8$$

Solution

Improper fractions are the one who numerator is more than the denominator

In $$\dfrac{13}{2}$$ and $$\dfrac{7}{3}$$, the numerator is greater than the denominator
So, they are not proper fractions
Whereas in $$\dfrac{2}{7}$$ and $$\dfrac{7}{11}$$, the numerator is less than the denominator
Thus, they are proper fractions.
Hence, $$\dfrac{13}{2}$$ and $$\dfrac{7}{3}$$ are improper fractional numbers.
Question 4
1 / -0

Simplify: $$\dfrac{5}{9}+\dfrac{7}{12}-\dfrac{5}{6}$$

A
$$\dfrac{11}{36}$$

B
$$\dfrac{36}{11}$$

C
$$\dfrac{7}{15}$$

D
$$\dfrac{41}{36}$$

Solution

$$\dfrac{5}{9}+\dfrac{7}{12}-\dfrac{5}{6}=\dfrac{20+21-30}{36}=\dfrac{11}{36}$$
where, 36 is the LCM of 9,6 and 12
Question 5
1 / -0

Solve :-$$\dfrac{3}{8} + \dfrac{8}{3}$$

A
$$\dfrac{9}{24}$$

B
$$\dfrac{64}{24}$$

C
$$\dfrac{73}{24}$$

D
$$\dfrac{55}{24}$$

Solution

$$\dfrac{3}{8}+\dfrac{8}{3}=\dfrac{9+64}{24}$$(24 is the LCM of 8 and 3)
$$=\dfrac{73}{24}$$
Question 6
1 / -0

$$\dfrac {3}{4} + \dfrac {5}{8}$$.

A
$$\dfrac {11}{8}$$.

B
$$\dfrac {12}{8}$$.

C
$$\dfrac {13}{8}$$.

D
$$\dfrac {23}{8}$$.

Solution

We have,
$$\,\,\,\dfrac{3}{4} + \dfrac{5}{8}$$

$$ = \dfrac{{6 + 5}}{8}\,\,\,\left[ {L.C.M\,of\,4\& 8 = 8} \right]$$

$$ = \dfrac{{11}}{8}$$

Hence, option (A) is true.
Question 7
1 / -0

What fraction of the figure is shaded?

A
$$\displaystyle\frac{7}{25}$$

B
$$\displaystyle\frac{8}{25}$$

C
$$\displaystyle\frac{9}{25}$$

D
$$\displaystyle\frac{2}{5}$$

Solution

Total number of parts squares $$=25$$
Number of squares which are shaded $$=9$$
Fraction of the figure which is shaded $$=\dfrac{9}{25}$$
Question 8
1 / -0

Simplify: $$\displaystyle\frac{3}{8}+\frac{7}{2}+\frac{-3}{5}+\frac{9}{8}+\frac{-3}{2}+\frac{6}{5}$$.

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

B
$$\displaystyle\frac{-41}{10}$$

C
$$\displaystyle\frac{39}{5}$$

D
$$\displaystyle\frac{41}{10}$$

Solution

$$\dfrac{3}{8} + \dfrac{7}{2}+\dfrac{-3}{5} + \dfrac{9}{8} + \dfrac{-3}{2} + \dfrac{6}{5} $$

$$=\dfrac{3\times 5 +7\times 5\times 4 -3\times 8+9\times 5-3\times 4\times 5+6\times 8}{8\times 5}$$

$$=\dfrac{164}{40}$$

$$=\dfrac{41}{10}$$
Question 9
1 / -0

Which fraction of one metre is $$10cm$$?

A
$$\cfrac { 1 }{ 10 } $$

B
$$\cfrac { 1 }{ 100 } $$

C
$$\cfrac { 100 }{ 100 } $$

D
$$\cfrac { 9 }{ 100 } $$

Solution

We Know $$1m = 100cm$$

Hence, $$10\ cm$$ is $$\dfrac{1}{10}$$ of $$1m$$
Question 10
1 / -0

Any mixed fraction can be divided into two parts and they are:

A
Whole number and proper fraction

B
Whole number and improper fraction

C
Proper fraction and improper fraction

D
None of the above

Solution

A Mixed Fraction is a whole number and a proper fraction combined.
for example $$ 4 \dfrac{2}{3}$$, where $$4 $$ is the whole number part and
$$ \dfrac{2}{3}$$ is the proper fraction.

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Fractions Test - 17

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Fractions Test - 17

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Question 1

$$\dfrac{1}{5}$$

$$\dfrac{12}{625}$$

$$\dfrac{5}{625}$$

$$\dfrac{15}{25}$$

Solution

Question 2

$$\dfrac{18}{2}$$

$$\dfrac{1}{36}$$

$$\dfrac{8}{36}$$

$$\dfrac{9}{4}$$

Solution

Question 3

$$\displaystyle\frac{2}{7}$$

$$\displaystyle\frac{7}{11}$$

$$\displaystyle\frac{13}{2}$$

$$\displaystyle\frac{7}8$$

Solution

Question 4

$$\dfrac{11}{36}$$

$$\dfrac{36}{11}$$

$$\dfrac{7}{15}$$

$$\dfrac{41}{36}$$

Solution

Question 5

$$\dfrac{9}{24}$$

$$\dfrac{64}{24}$$

$$\dfrac{73}{24}$$

$$\dfrac{55}{24}$$

Solution

Question 6

$$\dfrac {11}{8}$$.

$$\dfrac {12}{8}$$.

$$\dfrac {13}{8}$$.

$$\dfrac {23}{8}$$.

Solution

Question 7

$$\displaystyle\frac{7}{25}$$

$$\displaystyle\frac{8}{25}$$

$$\displaystyle\frac{9}{25}$$

$$\displaystyle\frac{2}{5}$$

Solution

Question 8

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

$$\displaystyle\frac{-41}{10}$$

$$\displaystyle\frac{39}{5}$$

$$\displaystyle\frac{41}{10}$$

Solution

Question 9

$$\cfrac { 1 }{ 10 } $$

$$\cfrac { 1 }{ 100 } $$

$$\cfrac { 100 }{ 100 } $$

$$\cfrac { 9 }{ 100 } $$

Solution

Question 10

Whole number and proper fraction

Whole number and improper fraction

Proper fraction and improper fraction

None of the above

Solution

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