0.145 as a Fraction

0.145 as a fraction and percent expansion provides the details of what is the equivalent fraction and percent for decimal 0.145, and the answer with steps to understand how it is being calculated.
0.145 as a Fraction
0.145 = (?)
= (0.145/1) x (1000/1000)
= 145/1000
= (29 x 5)/(200 x 5)
= 29/200
0.145 = 29/200
0.145 as a fraction equals to 29/200
where,
0.145 is a decimal,
29/200 is a fraction in simplest form.
0.145 in Percent
0.145 = (0.145 x 100)/100
= 14.5/100
= 14.5%
0.145 as a percent is 14.5%
where,
0.145 is a decimal,
14.5% is a percentage.
How-to: 0.145 as a Fraction
The below workout with step by step calculation shows how to convert 0.145 to fraction in simplest form manually.
step 1 Address the input parameters and observe what to be found:
Input values:
The decimal number = 0.145
What to be found:
What is 0.145 as a fraction in simplest form?
step 2 Write 0.145 as a simple fraction:
0.145/1
step 3
Find how many 10s should be multiplied with both numerator and denominator:
Since the decimal 0.145 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.145/1 to make numerator as a whole number.
(0.145 x 1000)/(1 x 1000) = 145/1000
step 4 Rewrite the numerator and denominator of the fraction 145/1000 in the form of multiplication factors as like the below:
= (29 x 5)/(200 x 5)
step 5 Check and cancel the factors of 145 and 1000 if any factors in the numerator and denominator can be cancelled each other:
= (29 x 5)/(200 x 5)
145/1000 = 29/200
Hence,
0.145 as a fraction is equal to 29/200.
