Respuesta :

The decimal is: 0.791666667The rounded decimal is: 0.8

Answer:

The answer is [tex]0.8[/tex]

Step-by-step explanation:

Firstly, you have to know the position of the tenth decimal.

Give a decimal number, for example, [tex]114.325[/tex]

The position of the tenth decimal places to the right of the decimal point. In this case, the number 3 is in the position of the tenth place.

Also, you have to know how to round a decimal number. The rule says:

If you want to round a number with a n-decimal digits, you have to see the position n+1-decimal digit:

If this number is equal or greater than 5, you have to increase the n-decimal digit to the next whole number.

If this number is lesser than 5, you have to decrease the n-decimal digit to the previous whole number.

Using the example [tex]114.325[/tex]

If we want to round the decimal number to the nearest tenth, the next digit is a 2, so we dont increase the number 3. So the decimal number is 114.3

Finally, responding your question,

First you have to represent the fraction number into decimal number.

[tex]\frac{19}{24} =0.791666[/tex]

The nearest tenth is the first decimal digit: 7

The next number is a 9, so if we want to round to the nearest tenth, we will have to increase the number 7 to the next whole number: 8

The final answer is [tex]0.8[/tex]

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