Solution: 4.985 as a fraction is 997/200
Methods
Converting 4.985 to a fraction, Step-by-Step
Step 1:
The first step to converting 4.985 to a fraction is to re-write 4.985 in the form p/q where p and q are both positive integers. To start with, 4.985 can be written as simply 4.985/1 to technically be written as a fraction.
Step 2:
Next, we will count the number of fractional digits after the decimal point in 4.985, which in this case is 3. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 4.985/1 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 4.985/1 each by 1000:
4.985
×
1000
1
×
1000
=
4985
1000
\frac{4.985 × 1000}{1 × 1000} = \frac{4985}{1000}
1 × 1000 4.985 × 1000 = 1000 4985
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:
4985
1000
=
997
200
\frac{4985}{1000} = \frac{997}{200}
1000 4985 = 200 997
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 356.6 as a fraction?
What is 536.2 as a fraction?
What is 49.87 as a fraction?
What is 650.9 as a fraction?
What is 277.3 as a fraction?