I will attach an image of the question but I'm not sure if my answer a is correct

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25-10-2022
Mathematics

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I will attach an image of the question but I'm not sure if my answer a is correct

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AshiyaI89474 AshiyaI89474 · Answer 1 · 2022-10-25T18:34:15-04:00

You can identify that the number given in the exercise is a Decimal number:

[tex]6.05[/tex]

In order to convert a Decimal number to a Mixed number, you need to follow these steps:

1. Write a fraction using 1 as the denominator and the Decimal number as the numerator. In this case:

[tex]=\frac{6.05}{1}[/tex]

2. In order to express the numerator as an Integer, you have to move the Decimal point two places to the right. Since you are multiplying the numerator by 100 (because you are moving the Decimal point two places to the right), you also must multiply the denominator by 100:

[tex]=\frac{6.05\cdot100}{1\cdot100}=\frac{605}{100}[/tex]

3. Now you have to simplify the fraction:

[tex]=\frac{121}{20}[/tex]

4. Having this Improper fraction, you can convert it to a Mixed number using Long division:

- Divide the numerator by the denominator.

- The Quotient 6 is the whole part.

- The Remainder 1 is the new numerator.

- Use the original denominator (20).

Then:

[tex]=6\frac{1}{20}[/tex]

The answer is: Third option.