Tag: multiplication of a fractions

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Questions Related to multiplication of a fractions

Multiple choice maths parts and whole multiplication of a fraction multiplication of a fractions multiplication of fraction finding the whole when a fraction is given

The reciprocal of $6-\sqrt{5}$ is equal to

  1. $\dfrac{3-\sqrt{5}}{8}$
  2. $\dfrac{6+\sqrt{5}}{31}$
  3. $\dfrac{6+2\sqrt{5}}{41}$
  4. $\dfrac{6-2\sqrt{5}}{56}$
  5. $\dfrac{6+2\sqrt{5}}{56}$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

The reciprocal of $6-\sqrt5$ is $\dfrac{1}{(6-\sqrt5)}$
Multiply and divide it by $6+\sqrt5$ , we get $\dfrac{6+\sqrt5}{(6+\sqrt5)(6-\sqrt5)} = \dfrac{6+\sqrt5}{31}$

Multiple choice maths parts and whole multiplication of a fraction multiplication of a fractions multiplication of fraction finding the whole when a fraction is given

Find the reciprocal of $\dfrac23 \div \dfrac{14}{15}$

  1. $\dfrac57$
  2. $\dfrac56$
  3. $\dfrac32$
  4. $\dfrac75$
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

$\dfrac{2}{3} \div \dfrac{14}{15} = \dfrac{2\times15}{3\times14}$


                $= \dfrac{30}{42}$

                $= \dfrac{5\times6}{7\times6}$

                $= \dfrac{5}{7}$

Reciprocal of $\dfrac{5}{7}$ is $\dfrac{7}{5}$

Multiple choice maths parts and whole multiplication of a fraction multiplication of a fractions multiplication of fraction finding the whole when a fraction is given

Rehna works $2\cfrac { 1 }{ 2 } $ hours each day on her embroidery. She completes the work in $7$ days. How many hours did she take to complete her work?


Ans : $17\cfrac { 1 }{ 2 } $ hrs.

  1. True

  2. False
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Rehana works $2\dfrac{1}{2}$ hrs $= 150 $minutes


As she completed her work in $7$ days,

$150 \times 7 = 1050$ minutes = $\dfrac{1050}{60}$ hours

$=\dfrac{35}{2}$ hours $=17\dfrac{1}{2}$ hours


So, Rehana took $17\dfrac{1}{2}$ hours to complete her work.