Tag: fractions

Questions Related to fractions

The unit digit of $2017^{2017}$.

maths fractions dividing fractions division of a fractions division of a fraction

  1. $7$

  2. $9$

  3. $3$

  4. $1$

Show answer
Correct Option: A
Explanation:

Consider the unit digits of $7^{x}$ series which is $7,9,3,1$

These four digits go on repeat So consider Remainder of ${2017}\div{4}=1$
so unit digit is $7$

Evaluate: 

$(5 \div 2.25) \div (9 \div 2.25)$.

maths fractions dividing fractions division of a fractions division of a fraction

  1. $\dfrac{5}{9}$

  2. $\dfrac{100}{9}$

  3. $\dfrac{9}{5}$

  4. $1$

Show answer
Correct Option: A
Explanation:

$ \dfrac {\dfrac {5}{2.25}}{\dfrac {9}{2.25}} = \dfrac {5}{9}$

Place value chart is extended on .............. side to provide place for fractions

maths fractions dividing fractions division of a fractions division of a fraction

  1. right

  2. left

  3. no

  4. None of these

Show answer
Correct Option: A
Explanation:

That is the role of the decimal point. The decimal point separates the place values that are whole values on the left from the place values that are fractional parts on the right.

So option A is the correct answer.

The fraction $\displaystyle \frac{9}{4}$ can be written as

maths fractions dividing fractions division of a fractions division of a fraction

  1. $\displaystyle \dfrac{\dfrac{9}{2}}{\dfrac{4}{2}}$

  2. $\displaystyle \dfrac{\dfrac{9}{4}}{1}$

  3. $\displaystyle \dfrac{\dfrac{9}{5}}{\dfrac{4}{5}}$

  4. $\displaystyle \dfrac{\dfrac{7}{6}}{\dfrac{9}{4}}$

Show answer
Correct Option: A,B,C
Explanation:
$ \dfrac{\dfrac{9}{2}}{\dfrac{4}{2}} = \dfrac{9}{2} \div \dfrac 42 =\dfrac 92 \times \dfrac 24  = \dfrac 94$

$ \dfrac{\dfrac{9}{4}}{1} = \dfrac{9}{4} \div 1 = \dfrac 92 \times 1 = \dfrac 94$

$ \dfrac{\dfrac{9}{5}}{\dfrac{4}{5}} = \dfrac{9}{5} \div \dfrac 45 =\dfrac 95 \times \dfrac 45  = \dfrac 94$

So, options $A, B$ and $C$ are correct.

Which of the following is complex fraction?

maths fractions dividing fractions division of a fractions division of a fraction

  1. $\dfrac{6\dfrac{1}{3}}{9}$

  2. $\dfrac{4}{9}$

  3. $\dfrac{5}{9}$

  4. $\dfrac{8}{9}$

Show answer
Correct Option: A
Explanation:

$\dfrac{6\dfrac{1}{3}}{9}$ is complex fraction.


So, option A is correct.