Solution: 309.2 as a fraction is 1546/5
Methods
Converting 309.2 to a fraction, Step-by-Step
Step 1:
The first step to converting 309.2 to a fraction is to re-write 309.2 in the form p/q where p and q are both positive integers. To start with, 309.2 can be written as simply 309.2/1 to technically be written as a fraction.
Step 2:
Next, we will count the number of fractional digits after the decimal point in 309.2, which in this case is 1. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 309.2/1 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 309.2/1 each by 10:
309.2
×
10
1
×
10
=
3092
10
\frac{309.2 × 10}{1 × 10} = \frac{3092}{10}
1 × 10 309.2 × 10 = 10 3092
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:
3092
10
=
1546
5
\frac{3092}{10} = \frac{1546}{5}
10 3092 = 5 1546
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 64.22 as a fraction?
What is 49.89 as a fraction?
What is 48.94 as a fraction?
What is 169.8 as a fraction?
What is 169.6 as a fraction?