Solution: 2.028 as a fraction is 507/250
Methods
Converting 2.028 to a fraction, Step-by-Step
Step 1:
The first step to converting 2.028 to a fraction is to re-write 2.028 in the form p/q where p and q are both positive integers. To start with, 2.028 can be written as simply 2.028/1 to technically be written as a fraction.
Step 2:
Next, we will count the number of fractional digits after the decimal point in 2.028, which in this case is 3. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 2.028/1 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 2.028/1 each by 1000:
2.028
×
1000
1
×
1000
=
2028
1000
\frac{2.028 × 1000}{1 × 1000} = \frac{2028}{1000}
1 × 1000 2.028 × 1000 = 1000 2028
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:
2028
1000
=
507
250
\frac{2028}{1000} = \frac{507}{250}
1000 2028 = 250 507
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 90.82 as a fraction?
What is 99.36 as a fraction?
What is 8.521 as a fraction?
What is 551.4 as a fraction?
What is 96.5 as a fraction?