Fraction operations Quiz 1

Question 1

If the sum of three fractions is $$\dfrac{{22}}{9}$$ . Greatest fraction is divided by the smallest fraction, the result is $$\dfrac{7}{3}$$, which is greater than the middle fraction by $$\dfrac{2}{3}$$ . Find the sum of two other fractions other than the middle fraction.

Accepted Answer

$$\dfrac{7}{9}$$

Answer

$$\dfrac{3}{5}$$

Answer

$$\dfrac{7}{8}$$

Answer

none

Question 2

If $$\dfrac{{11}}{7}$$ of the rod is dipped under the water. When $$\dfrac{2}{3}$$ of it is pulled out, $$380cm$$ is still in the water. Find total length of rod.

Accepted Answer

$$480{	ext{ cm}}$$

Answer

$$1100{	ext{ cm}}$$

Answer

$$950{	ext{ cm}}$$

Answer

$${	ext{960 cm}}$$

Question 3

Calculate $$1 + \dfrac{1}{2} + \dfrac{1}{4} + \dfrac{1}{7} + \dfrac{1}{{14}} + \dfrac{1}{{28}} = ?$$

Accepted Answer

$$2$$

Answer

$$5$$

Answer

$$4$$

Answer

$$6$$

Question 4

If the numerator of fraction is increased by $$100\% $$ and the denominator is decreased by $$50\% $$ , the resultant fraction is $$\dfrac{8}{{15}}$$ . Find the original fraction.

Accepted Answer

$$\dfrac{2}{{15}}$$

Answer

$$\dfrac{3}{{15}}$$

Answer

$$\dfrac{3}{{14}}$$

Answer

$$\dfrac{2}{7}$$

Question 5

If the numerator is 7 less than the denominator. If the numerator is decreased by 5 and denominator is increased by 5 , then the denominator becomes 2 times the numerator. Hence, the required value of denominator is

Accepted Answer

$$29$$

Answer

$$22$$

Answer

$$33$$

Answer

$$35$$