MATH SOLVE

4 months ago

Q:
# What is 389.2 as a fraction?

Accepted Solution

A:

Solution: 389.2 as a fraction is 1946/5
Methods
Converting 389.2 to a fraction, Step-by-Step
Step 1:
The first step to converting 389.2 to a fraction is to re-write 389.2 in the form p/q where p and q both are positive integers. To start with, 389.2 can be written as simply 389.2/1 to technically be written as a fraction.
Step 2:
Next, we will count the number of fractional digits after the decimal point in 389.2, which in this case is 1. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 389.2/1 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 389.2/1 each by 10:
389.2
Γ
10
1
Γ
10
=
3892
10
\frac{389.2 Γ 10}{1 Γ 10} = \frac{3892}{10}
1 Γ 10 389.2 Γ 10 β = 10 3892 β
Step 3:
Now the last step is to simplify the fraction (if possible) by finding similar factors and cancelling them out:
3892
10
=
1946
5
\frac{3892}{10} = \frac{1946}{5}
10 3892 β = 5 1946 β
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 67.22 as a fraction?
What is 989.9 as a fraction?
What is 66.79 as a fraction?
What is 67.09 as a fraction?
What is 78.95 as a fraction?