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Fractions and Decimals Test - 27

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Fractions and Decimals Test - 27
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  • Question 1
    1 / -0
    Find the sum of $$1.2$$ and $$2.3$$.
    Solution
    The sum of $$1.2$$ and $$2.3$$ will be $$1.2+2.3=3.5$$
  • Question 2
    1 / -0
    $$5.6 \times 4.5 + 3.4= ?$$
    Solution
    $$5.6\times4.5=25.2$$
    so, $$5.6\times4.5 +3.4=25.2+3.4=28.6$$
  • Question 3
    1 / -0
    Solve: $$2 \dfrac { 1 } { 2 } \mathrm {  } \text { of } 10 \mathrm { cm }$$
    Solution
    Given $$2 \dfrac { 1 } { 2 } \mathrm {  } \text { of } 10 \mathrm { cm }$$

    $$=2\dfrac{1}{2}\times 10$$

    $$=\dfrac{2\cdot2+1}{2}\times 10$$

    $$=\dfrac{5}{2}\times 10$$

    $$=5\times 5=25$$
  • Question 4
    1 / -0
    Simplify the expression $$2\dfrac{1}{4}\times \dfrac{5}{12}+\dfrac{1}{2}$$
    Solution
    $$2\cfrac { 1 }{ 4 } \times \cfrac { 5 }{ 12 } +\cfrac { 1 }{ 2 } $$

    $$=\cfrac { 9 }{ 4 } \times \cfrac { 5 }{ 12 } +\cfrac { 1 }{ 2 } $$

    $$ =\cfrac { 15 }{ 16 } +\cfrac { 1 }{ 2 } $$

    $$ =\cfrac { 15+8 }{ 16 } $$

    $$ =\cfrac { 23 }{ 16 } $$
  • Question 5
    1 / -0
    A proper fraction with denominator $$10$$ is 
    Solution
    In a proper fraction numerator of the fraction is less than the denominator of the fraction. Also, the denominator must be $$10$$ according to the question.

    Hence, option $$C$$ is correct.
  • Question 6
    1 / -0
    Which one of the following is an improper fraction 
    Solution
    We have,
    let, $$2\dfrac{3}{4}$$
    $$=\dfrac{(4\times 2)+3}{4}$$
    $$=\dfrac{8+3}{4}$$
    $$=\dfrac{11}{4}$$
    Hence, this is answer.
  • Question 7
    1 / -0
    The improper fraction is :
    Solution
    A fraction in which the numerator is greater than the denominator is an improper fraction.
    $$(a)\dfrac{12}{15}:$$ Here $$12<15\Rightarrow$$Numerator $$<$$ Denominator.Hence it is not an improper fraction.

    $$(b)\dfrac{13}{17}:$$ Here $$13<17\Rightarrow$$Numerator $$<$$ Denominator.Hence it is not an improper fraction.

    $$(c)\dfrac{16}{21}:$$ Here $$16<21\Rightarrow$$Numerator $$<$$ Denominator.Hence it is not an improper fraction.

    $$(d)\dfrac{25}{11}:$$ Here $$25>11\Rightarrow$$Numerator $$>$$ Denominator.Hence it is  an improper fraction.
  • Question 8
    1 / -0
    Which of the following is a proper fraction?
    Solution
    If the numerator is less than the denominator then the fraction is called as proper fraction.
    Hence none of these are proper fractions.
  • Question 9
    1 / -0
    The product of $$\frac{11}{13}$$ and 4 is:
    Solution

  • Question 10
    1 / -0
    $$3.\overline{25}$$ is equal to
    Solution
    $$3.\bar { 25 } =3+25*0.\bar { 01 } =3+25*\dfrac { 1 }{ 99 } =3+\dfrac { 25 }{ 99 }  $$
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