MATH SOLVE

3 months ago

Q:
# What is 1.082 as a fraction?

Accepted Solution

A:

Solution: 1.082 as a fraction is 541/500
Methods
Converting 1.082 to a fraction, Step-by-Step
Step 1:
The first step to converting 1.082 to a fraction is to re-write 1.082 in the form p/q where p and q are both positive integers. To start with, 1.082 can be written as simply 1.082/1 to technically be written as a fraction.
Step 2:
Next, we will count the number of fractional digits after the decimal point in 1.082, which in this case is 3. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 1.082/1 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 1.082/1 each by 1000:
1.082
Γ
1000
1
Γ
1000
=
1082
1000
\frac{1.082 Γ 1000}{1 Γ 1000} = \frac{1082}{1000}
1 Γ 1000 1.082 Γ 1000 β = 1000 1082 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:
1082
1000
=
541
500
\frac{1082}{1000} = \frac{541}{500}
1000 1082 β = 500 541 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 86.64 as a fraction?
What is 9.92 as a fraction?
What is 55.64 as a fraction?
What is 226.5 as a fraction?
What is 52.11 as a fraction?