Solution: 2.092 as a fraction is 523/250
Methods
Converting 2.092 to a fraction, Step-by-Step
Step 1:
The first step to converting 2.092 to a fraction is to re-write 2.092 in the form p/q where p and q both are positive integers. To start with, 2.092 can be written as simply 2.092/1 to technically be written as a fraction.
Step 2:
Next, we will count the number of fractional digits after the decimal point in 2.092, which in this case is 3. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 2.092/1 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 2.092/1 each by 1000:
2.092
×
1000
1
×
1000
=
2092
1000
\frac{2.092 × 1000}{1 × 1000} = \frac{2092}{1000}
1 × 1000 2.092 × 1000 = 1000 2092
Step 3:
Now the last step is to simplify the fraction (if possible) by finding similar factors and cancelling them out:
2092
1000
=
523
250
\frac{2092}{1000} = \frac{523}{250}
1000 2092 = 250 523
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 93.66 as a fraction?
What is 562.9 as a fraction?
What is 864.9 as a fraction?
What is 1.291 as a fraction?
What is 72.38 as a fraction?