Question

Renaldo will write 3/20 as a decimal. Which of the following methods should he use?

1. Multiply the fraction by 5/5 to get a denominator of 100 and then write the numerator as hundredths using a decimal point.
2.Multiply the fraction by 1/5 to get a denominator of 100 and then write the numerator as hundredths using a decimal point.
3. Multiply the fraction by 33.3/33.3 to get a numerator of 100 and then write the denominator as hundredths using a decimal point.
4. Multiply the fraction by 33.3 to get a numerator of 100 and then write the denominator as hundredths using a decimal point.

Answer 1

1. Multiply the fraction by 5/5 to get a denominator of 100 and then write the numerator as hundredths using a decimal point.

Explanation:

Renaldo must use a method that does not alter the value of the original fraction. This means that by multiplying the fraction by a number, the result obtained remains the same as the initial number.

Then the fraction
`(3)/(20)` must be multiplied by the same number in the denominator and the numerator. For example:

`(3)/(20)*(5)/(5)`

`(3)/(20)*(33)/(33)`

If we multiply
`(3)/(20)*(5)/(5)` the result is:

`(15)/(100)` To write this fraction in decimal form, we move the comma 2 digits to the left in the following way:

15.0 --------> 0.15.

Then
`(15)/(100)=(3)/(20)=0,15`

The answer is Option 1.

Answer 2

1. Multiply the fraction by 5/5 to get a denominator of 100 and then write the numerator as hundredths using a decimal point.

EXPLANATION

Renaldo wants to write

`(3)/(20)`

as a decimal.

He needs a denominator of 100, so he can multiply by

`(5)/(5)`

to obtain:

`(3)/(20) = (3 * 5)/(20 * 5)`

This will be

`= (15)/(100)`

He can now obtain the decimal equivalent as

`= 0.15`

The correct choice is option 1.