0.355 = ?

**What is 0.355 as a fraction?**

0.355 = 71/200.

**0.355 as a fraction is 71/200.**

This decimal to fraction conversion provides the detailed information on what is 0.355 as a fraction in simplest form and how it can be calculated.

**Calculation: 0.355 in Fraction**

0.355 = (?)

= (0.355/1) x (1000/1000)

= 355/1000

= (71 x 5)/(200 x 5)

= 71/200

0.355 = 71/200

0.355 in fraction is 71/200

Step by step work for decimal 0.355 as a simplified fraction to understand the calculation.

step 1
__Input values:__

The decimal number = 0.355

__What to be found:__

What is 0.355 as a fraction in simplest form?

step 2 Write 0.355 as a simple fraction.

0.355/1

step 3
Find how many 10s should be multiplied with both numerator and denominator.

Since the decimal 0.355 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.355/1 to make numerator as a whole number.

(0.355 x 1000)/(1 x 1000) = 355/1000

step 4 Rewrite the numerator and denominator of the fraction 355/1000 in the form of multiplication factors as like the below.

= (71 x 5)/(200 x 5)

step 5 To simplify the fraction, check and cancel the factors of 355 and 1000 if any factors in the numerator and denominator can be cancelled each other.

= (71 x 5)/(200 x 5)

355/1000 = 71/200

Hence,

0.355 as a fraction is 71/200.