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.

Respuesta :

ANSWER

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

[tex] \frac{3}{20} [/tex]

as a decimal.

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

[tex] \frac{5}{5} [/tex]

to obtain:

[tex] \frac{3}{20} = \frac{3 \times 5}{20 \times 5} [/tex]

This will be

[tex] = \frac{15}{100} [/tex]

He can now obtain the decimal equivalent as

[tex] = 0.15[/tex]

The correct choice is option 1.

Answer:

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

Step-by-step 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 [tex]\frac{3}{20}[/tex] must be multiplied by the same number in the denominator and the numerator. For example:

[tex]\frac{3}{20}*\frac{5}{5}[/tex]

[tex]\frac{3}{20}*\frac{33}{33}[/tex]

If we multiply [tex]\frac{3}{20}*\frac{5}{5}[/tex] the result is:

[tex]\frac{15}{100}[/tex] 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 [tex]\frac{15}{100}=\frac{3}{20}=0,15[/tex]

The answer is Option 1.