Solution: 6.802 as a fraction is 3401/500
Methods
Converting 6.802 to a fraction, Step-by-Step
Step 1:
The first step to converting 6.802 to a fraction is to re-write 6.802 in the form p/q where p and q both are positive integers. To start with, 6.802 can be written as simply 6.802/1 to technically be written as a fraction.
Step 2:
Next, we will count the number of fractional digits after the decimal point in 6.802, which in this case is 3. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 6.802/1 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 6.802/1 each by 1000:
6.802
×
1000
1
×
1000
=
6802
1000
\frac{6.802 × 1000}{1 × 1000} = \frac{6802}{1000}
1 × 1000 6.802 × 1000 = 1000 6802
Step 3:
Now the last step is to simplify the fraction (if possible) by finding similar factors and cancelling them out:
6802
1000
=
3401
500
\frac{6802}{1000} = \frac{3401}{500}
1000 6802 = 500 3401
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 17.78 as a fraction?
What is 42.3 as a fraction?
What is 55.25 as a fraction?
What is 34.34 as a fraction?
What is 9.131 as a fraction?