Solution: 789.2 as a fraction is 3946/5
Methods
Converting 789.2 to a fraction, Step-by-Step
Step 1:
The first step to converting 789.2 to a fraction is to re-write 789.2 in the form p/q where p and q are both positive integers. To start with, 789.2 can be written as simply 789.2/1 to technically be written as a fraction.
Step 2:
Next, we will count the number of fractional digits after the decimal point in 789.2, which in this case is 1. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 789.2/1 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 789.2/1 each by 10:
789.2
×
10
1
×
10
=
7892
10
\frac{789.2 × 10}{1 × 10} = \frac{7892}{10}
1 × 10 789.2 × 10 = 10 7892
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:
7892
10
=
3946
5
\frac{7892}{10} = \frac{3946}{5}
10 7892 = 5 3946
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 80.43 as a fraction?
What is 9.265 as a fraction?
What is 2.189 as a fraction?
What is 9.24 as a fraction?
What is 59.53 as a fraction?