0.335 as a Fraction

0.335 as a fraction and percent expansion provides the details of what is the equivalent fraction and percent for decimal 0.335, and the answer with steps to understand how it is being calculated.
0.335 as a Fraction
0.335 = (?)
= (0.335/1) x (1000/1000)
= 335/1000
= (67 x 5)/(200 x 5)
= 67/200
0.335 = 67/200
0.335 as a fraction equals to 67/200
where,
0.335 is a decimal,
67/200 is a fraction in simplest form.
0.335 in Percent
0.335 = (0.335 x 100)/100
= 33.5/100
= 33.5%
0.335 as a percent is 33.5%
where,
0.335 is a decimal,
33.5% is a percentage.
How-to: 0.335 as a Fraction
The below workout with step by step calculation shows how to convert 0.335 to fraction in simplest form manually.
step 1 Address the input parameters and observe what to be found:
Input values:
The decimal number = 0.335
What to be found:
What is 0.335 as a fraction in simplest form?
step 2 Write 0.335 as a simple fraction:
0.335/1
step 3
Find how many 10s should be multiplied with both numerator and denominator:
Since the decimal 0.335 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.335/1 to make numerator as a whole number.
(0.335 x 1000)/(1 x 1000) = 335/1000
step 4 Rewrite the numerator and denominator of the fraction 335/1000 in the form of multiplication factors as like the below:
= (67 x 5)/(200 x 5)
step 5 Check and cancel the factors of 335 and 1000 if any factors in the numerator and denominator can be cancelled each other:
= (67 x 5)/(200 x 5)
335/1000 = 67/200
Hence,
0.335 as a fraction is equal to 67/200.
