Solution: 0.855 as a fraction is 171/200
Methods
Converting 0.855 to a fraction, Step-by-Step
Step 1:
The first step to converting 0.855 to a fraction is to re-write 0.855 in the form p/q where p and q are both positive integers. To start with, 0.855 can be written as simply 0.855/1 to technically be written as a fraction.
Step 2:
Next, we will count the number of fractional digits after the decimal point in 0.855, which in this case is 3. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 0.855/1 each by 10 to the power of that many digits. For instance, for 0.45, there are 2 fractional digits so we would multiply by 100; or for 0.324, since there are 3 fractional digits, we would multiply by 1000. So, in this case, we will multiply the numerator and denominator of 0.855/1 each by 1000:
0.855
×
1000
1
×
1000
=
855
1000
\frac{0.855 × 1000}{1 × 1000} = \frac{855}{1000}
1 × 1000 0.855 × 1000 = 1000 855
Step 3:
Now the last step is to simplify the fraction (if possible) by finding similar factors and cancelling them out, which leads to the following answer:
855
1000
=
171
200
\frac{855}{1000} = \frac{171}{200}
1000 855 = 200 171
Convert Other Values to Fractions
Become a pro at converting decimals or percentages to fractions by exploring some examples, like the ones below:
What is 11.21 as a fraction?
What is 98.1 as a fraction?
What is 23.86 as a fraction?
What is 15.69 as a fraction?
What is 99.68 as a fraction?