Solution: 0.595 as a fraction is 119/200
Methods
Converting 0.595 to a fraction, Step-by-Step
Step 1:
The first step to converting 0.595 to a fraction is to re-write 0.595 in the form p/q where p and q both are positive integers. To start with, 0.595 can be written as simply 0.595/1 to technically be written as a fraction.
Step 2:
Next, we will count the number of fractional digits after the decimal point in 0.595, which in this case is 3. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 0.595/1 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 0.595/1 each by 1000:
0.595
×
1000
1
×
1000
=
595
1000
\frac{0.595 × 1000}{1 × 1000} = \frac{595}{1000}
1 × 1000 0.595 × 1000 = 1000 595
Step 3:
Now the last step is to simplify the fraction (if possible) by finding similar factors and cancelling them out:
595
1000
=
119
200
\frac{595}{1000} = \frac{119}{200}
1000 595 = 200 119
Become a Pro at Converting to Fractions
Become a pro at converting decimals or percentages to fractions by exploring some examples, like the ones below:
What is 216.9 as a fraction?
What is 67.1 as a fraction?
What is 53.98 as a fraction?
What is 7.252 as a fraction?
What is 1.817 as a fraction?