365% as a decimal and fraction A. 36.5 ; 3 5/6 B. 36.5 ; 3 1/3 C. 3.65 ; 3 3/5 D. 3.65 ; 3 13/20

Mathematics · Middle School · Thu Feb 04 2021

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Given the value:

365%

Change to decimal and fraction.

Solution:

In order to change the percentage into decimal, we simply need to divide it by 100, hence to change a decimal to percentage, we multiply it by 100.

= 365/100

= 3.65

To change a decimal to mixed number, we exclude first the whole number and focus on the decimal part, treat the decimal as a whole number, and divide it by its place value, in our case 100.

= 65/100

Factor out 5.

= 13/20

Add the whole number in front of the fraction

3.65 = 3 13/20

Final answer:

=D. 3.65 ; 3 13/20