Write 165% as a fraction and as a decimal.

Question

asked Jun 23, 2016 148k views

2 Answers

Patryk Czachurski · Answer 1 · 2016-06-23T22:53:26+0000

Part a) Write
165 % as a fraction

we know that

165 % is equal to

(165)/(100)

Simplify the fraction

Divide by
numerator and denominator

$(165)/(100)= ((165)/(5))/((100)/(5)) \\ \\ (165)/(100) =(33)/(20)$

the fraction
(33)/(20) is irreducible

therefore

the answer Part a) is

% as a fraction is equal to

Part b) Write
165 % as a decimal

we know that

To get the decimal, all we have to do is divide
by

so

(33)/(20) =1.65

therefore

the answer Part b) is

% as a decimal is equal to

Serhii Maksymchuk · Answer 2 · 2016-06-27T16:07:31+0000

Let's start with the fraction! 165% means there are 165 parts per hundred so that can be written like this:

(165)/(100)

Let's factor out 5 from the top and bottom:

(33)/(20)

= 165%

Now all we have to do is actually divide 33 by 20 to get the decimal:

(33)/(20) = 1.65

So 165% can be written in fraction form as
(33)/(20)

and in decimal form as 1.65