Solution: 364.7 as a fraction is 3647/10
Methods
Converting 364.7 to a fraction, Step-by-Step
Step 1:
The first step to converting 364.7 to a fraction is to re-write 364.7 in the form p/q where p and q are both positive integers. To start with, 364.7 can be written as simply 364.7/1 to technically be written as a fraction.
Step 2:
Next, we will count the number of fractional digits after the decimal point in 364.7, which in this case is 1. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 364.7/1 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 364.7/1 each by 10:
364.7
×
10
1
×
10
=
3647
10
\frac{364.7 × 10}{1 × 10} = \frac{3647}{10}
1 × 10 364.7 × 10 = 10 3647
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:
3647
10
=
3647
10
\frac{3647}{10} = \frac{3647}{10}
10 3647 = 10 3647
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 90.31 as a fraction?
What is 125.6 as a fraction?
What is 8.927 as a fraction?
What is 30.55 as a fraction?
What is 1.9 as a fraction?