0.225 as a Fraction

0.225 = ?
What is 0.225 as a fraction?

0.225 = 9/40.
0.225 as a fraction is 9/40.

This decimal to fraction conversion provides the detailed information on what is 0.225 as a fraction in simplest form and how it can be calculated.

Calculation: 0.225 in Fraction
0.225 = (?)
= (0.225/1) x (1000/1000)
= 225/1000
= (9 x 25)/(40 x 25)
= 9/40
0.225 = 9/40
0.225 in fraction is 9/40

Step by step work for decimal 0.225 as a simplified fraction to understand the calculation.

step 1 Input values:
The decimal number = 0.225

What to be found:
What is 0.225 as a fraction in simplest form?

step 2 Write 0.225 as a simple fraction.
0.225/1

step 3 Find how many 10s should be multiplied with both numerator and denominator.
Since the decimal 0.225 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.225/1 to make numerator as a whole number.
(0.225 x 1000)/(1 x 1000) = 225/1000

step 4 Rewrite the numerator and denominator of the fraction 225/1000 in the form of multiplication factors as like the below.
= (9 x 25)/(40 x 25)

step 5 To simplify the fraction, check and cancel the factors of 225 and 1000 if any factors in the numerator and denominator can be cancelled each other.
= (9 x 25)/(40 x 25)
225/1000 = 9/40

Hence,
0.225 as a fraction is 9/40.