Solution: 2.198 as a fraction is 1099/500
Methods
Converting 2.198 to a fraction, Step-by-Step
Step 1:
The first step to converting 2.198 to a fraction is to re-write 2.198 in the form p/q where p and q are both positive integers. To start with, 2.198 can be written as simply 2.198/1 to technically be written as a fraction.
Step 2:
Next, we will count the number of fractional digits after the decimal point in 2.198, which in this case is 3. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 2.198/1 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 2.198/1 each by 1000:
2.198
Γ
1000
1
Γ
1000
=
2198
1000
\frac{2.198 Γ 1000}{1 Γ 1000} = \frac{2198}{1000}
1 Γ 1000 2.198 Γ 1000 β = 1000 2198 β
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:
2198
1000
=
1099
500
\frac{2198}{1000} = \frac{1099}{500}
1000 2198 β = 500 1099 β
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 0.075 as a fraction?
What is 861.5 as a fraction?
What is 3.693 as a fraction?
What is 9.71 as a fraction?
What is 6.6 as a fraction?