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Fractions Test - 12

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Fractions Test - 12
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  • Question 1
    1 / -0
    ........... + 47=1\displaystyle \frac {4}{7}\, =\, 1
    Solution
    1 47= 717= 371\, -\, \displaystyle \frac {4}{7}\, =\, \displaystyle \frac {7-1}{7}\, =\, \displaystyle \frac {3}{7}
  • Question 2
    1 / -0
    Out of the rational numbers 511,512,517\displaystyle {\frac{-5}{11},\, \frac{-5}{12},\, \frac{-5}{17}}, which is greater ?
    Solution
    511,512,517\displaystyle {\frac{-5}{11},\, \frac{-5}{12},\, \frac{-5}{17}}
    \because All have same numerator. Sothe rational number having theleast denominator is the greatest.But here all have negative sign.So, the number having greatestdenominator is greater. Hence, 517\displaystyle \frac{-5}{17} is greater
  • Question 3
    1 / -0
    The sum of 815\displaystyle \frac {8}{15} and 715\displaystyle \frac {7}{15} is ..........
    Solution
    815+ 715= 8+715= 1515=1\displaystyle \frac {8}{15}\, +\, \displaystyle \frac {7}{15}\, =\, \displaystyle \frac {8+7}{15}\, =\, \displaystyle \frac {15}{15}\, =\, 1
  • Question 4
    1 / -0
    Which number should come in place of \square ?
    17+ 27+ 7=137\displaystyle \frac {1}{7}\, +\, \displaystyle \frac {2}{7}\, +\, \displaystyle \frac {\square }{7}\, =\, 1\displaystyle \frac {3}{7}
    Solution
    107 17 27= 10127= 77\displaystyle \frac {10}{7}\, -\, \displaystyle \frac {1}{7}\, -\, \displaystyle \frac {2}{7}\, =\, \displaystyle \frac {10-1-2}{7}\, =\, \displaystyle \frac {7}{7}
  • Question 5
    1 / -0
    21139+5262\, -\, \displaystyle {\frac{11}{39}\, +\, \frac{5}{26}} = ............
    Solution
    Given: 211139+526\displaystyle {\frac{2}{1}\, -\, \frac{11}{39}\, +\, \frac{5}{26}}

    Factors of 39=3×1339=3\times 13
    Factors of 26=2×1326=2\times 13

    LCM(39,26)=2×3×13=78LCM(39,26)=2\times 3\times 13=78

    211139+526\displaystyle {\frac{2}{1}\, -\, \frac{11}{39}\, +\, \frac{5}{26}} =2×7811×2+5×378=\, \displaystyle {\frac{2\times 78\, -\, 11\times 2\, +\, 5\times 3}{78}\, }

                                   =15622+1578=14978=\, \displaystyle {\frac{156\, -\, 22\, +\, 15}{78}\, =\, \frac{149}{78}}

                                    =17178=1+7178=\, 1\displaystyle {\frac{71}{78}\, =\, 1\, +\, \frac{71}{78}}
  • Question 6
    1 / -0

    In Krishna's flower garden, 17\dfrac{1}{7} are white roses, 47\dfrac{4}{7} are red roses and the rest are yellow roses. What fraction of the roses are yellow?

    Solution

    Let the total number of yellow roses be xx


    Hence, 17+47+x=1\dfrac{1}{7} + \dfrac{4}{7} + x = 1

    (1+4+7x)7=1\Rightarrow \dfrac{(1 + 4 + 7x) }{7} = 1

    (5+7x)7=1\Rightarrow \dfrac{(5 + 7x) }{ 7} = 1

    5+7x=7\Rightarrow 5 + 7x = 7          [ by cross multiplication]

    7x=75\Rightarrow 7x = 7 - 5

    7x=2\Rightarrow 7x = 2

    x=27\Rightarrow x = \dfrac{2}{7}

    \therefore The fraction of yellow roses are 27\dfrac{2}{7}

  • Question 7
    1 / -0
    Which of the following is not a proper fraction ?
    Solution
    Proper fraction is a fraction that is less than one, with the numerator less than the denominator.
    So, option DD is correct.
  • Question 8
    1 / -0
    Which of the following is not a proper fraction?
    Solution
    Fractions that are greater than 00 but less than 11 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 11 or greater than 11.


    Now looking at options 

    23=.666 <1\dfrac{2}{3}=.666  < 1

    34=.75<1\dfrac{3}{4}= .75 < 1

    57=.71 <1\dfrac{5}{7}= .71  <1

    65=1.2 >1\dfrac{6}{5}=1.2  > 1

    So  65\dfrac{6}{5}  is Not a Proper fraction.

    So option DD is correct.
  • Question 9
    1 / -0
    A quantity which expresses a part of the whole is called a/an:
    Solution
    By definition fraction is a quantity which express the part of any whole number. So correct answer will be option A
  • Question 10
    1 / -0
    Which of the following is not an improper fraction?
    Solution
    Proper fraction is a fraction that is less than one, with the numerator less than the denominator.
    Option DD is correct.
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