Solution: 364.2 as a fraction is 1821/5
Methods
Converting 364.2 to a fraction, Step-by-Step
Step 1:
The first step to converting 364.2 to a fraction is to re-write 364.2 in the form p/q where p and q both are positive integers. To start with, 364.2 can be written as simply 364.2/1 to technically be written as a fraction.
Step 2:
Next, we will count the number of fractional digits after the decimal point in 364.2, which in this case is 1. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 364.2/1 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 364.2/1 each by 10:
364.2
×
10
1
×
10
=
3642
10
\frac{364.2 × 10}{1 × 10} = \frac{3642}{10}
1 × 10 364.2 × 10 = 10 3642
Step 3:
Now the last step is to simplify the fraction (if possible) by finding similar factors and cancelling them out:
3642
10
=
1821
5
\frac{3642}{10} = \frac{1821}{5}
10 3642 = 5 1821
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 593.4 as a fraction?
What is 3.291 as a fraction?
What is 32.49 as a fraction?
What is 927.9 as a fraction?
What is 52.04 as a fraction?