Question

In a survey, it was found that 9 out of every 11 households are donating

some amount of their income to an orphanage or old age home or

institutions for physically handicapped.

a) What fraction of households are donating?

b) Write it in decimal form.

c) What type of decimal expansion it has?

d) What fraction of households are not donating?

e) What values of society are depicted in this question?​

Answer 1

SOLUTION

TO DETERMINE

In a survey, it was found that 9 out of every 11 households are donating some amount of their income to an orphanage or old age home or institutions for physically handicapped.

a) What fraction of households are donating?

b) Write it in decimal form.

c) What type of decimal expansion it has?

d) What fraction of households are not donating?

e) What values of society are depicted in this question?

EVALUATION

Here it is given that in a survey, it was found that 9 out of every 11 households are donating some amount of their income to an orphanage or old age home or institutions for physically handicapped.

a) Hence the required fraction of households are donating

$\displaystyle \sf{ = \frac{9}{11} }$

b) The fraction in decimal form

$\displaystyle \sf{ = \frac{9}{11} }$

= 0.8181...

c) The given fraction is

$\displaystyle \sf{ = \frac{9}{11} }$

Since the prime factorisation of the denominator contains prime factors other than 2 and 5

So decimal expansion is non terminating

d) The fraction of households are not donating

$\displaystyle \sf{ = 1 - \frac{9}{11} }$

$\displaystyle \sf{ = \frac{11 - 9}{11} }$

$\displaystyle \sf{ = \frac{2}{11} }$

e) The values of society are depicted in this question

We need to donate some amount of our income for orphanage or old age home or institutions for physically handicapped.

━━━━━━━━━━━━━━━━

Learn more from Brainly :-

1. The decimal expansion of 49/2³5³

contains six digits after the decimal point.

https://brainly.in/question/36368731

2. Without actually dividing find which of the following are terminating decimals.

i. 3/25 ii. 11/18 iii. 13/20 iv. 41/42

https://brainly.in/question/135746

3. without actually performing the long division state whether 13/3125 and 13/343 will have a terminating decimal expansion...

https://brainly.in/question/23797327