Question

you spend 7 whole 1/2 hours out of 24 hours at school . what percent of the day is this?​

Answer 1

Answer

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Hint: In the question we have to find the percentage of a day if you have spent 712 hours out of 24 hours at school. For this we will first understand the meaning of percentage then we will learn the percentage formula. Then we will substitute our given values in the percentage formula to get our required answer.

Complete step by step answer:

Percentage:

Percentage is a fraction of a ratio in which total value is100.

We represent the percentage using the %symbol.

Formula for percentage is

Percentage =given valuetotal value×100%

Now we will understand the meaning of percentage using an example

Suppose your teacher told you that you have got 80% in your unit test

This means that out of total 100 marks you got 80 marks

Let us consider another example.

Example: find 20% of 80 .

We can solve it as

20100×80

Now we will solve this

1600100⇒16

∴16 Is our required answer.

We can also calculate percentage increase or percentage decrease.

Formula for percentage increase or percentage decrease is

Percentage =final value - initial valueinitial value×100

Where the initial value is our original value which will be changed further into the final value.

Now we will proceed to our question

In the question we have to find the percentage of a day if you have spent 712 hours out of 24 hours at school.

Given time that you have spent in school =712 hours

As we know, we can change mixed fraction in improper fraction

712=152

So,

We can also write it as

Given time that you have spent in school =152 hours

Total no. of hours in a day =24

Now formula for percentage is

Percentage =given valuetotal value×100%

So according to question,

Our given value is 712 hours

And

Total value is 24 hours.

We will substitute these values in percentage formula

Percentage =71224×100%

As we have known that we can write 712 as 152

So,

Percentage =15224×100%

We can write it as

Percentage =1524×2×100%

In simpler form

Percentage =1548×100%

⇒150048%

Now we will solve this fraction

150048%=31.25%

∴31.25%Is our required answer.

You have spent 31.25% of a day in school.