Solution: 738.4 as a fraction is 3692/5
Methods
Converting 738.4 to a fraction, Step-by-Step
Step 1:
The first step to converting 738.4 to a fraction is to re-write 738.4 in the form p/q where p and q are both positive integers. To start with, 738.4 can be written as simply 738.4/1 to technically be written as a fraction.
Step 2:
Next, we will count the number of fractional digits after the decimal point in 738.4, which in this case is 1. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 738.4/1 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 738.4/1 each by 10:
738.4
×
10
1
×
10
=
7384
10
\frac{738.4 × 10}{1 × 10} = \frac{7384}{10}
1 × 10 738.4 × 10 = 10 7384
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:
7384
10
=
3692
5
\frac{7384}{10} = \frac{3692}{5}
10 7384 = 5 3692
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 5.998 as a fraction?
What is 927.2 as a fraction?
What is 855.2 as a fraction?
What is 71.11 as a fraction?
What is 91.59 as a fraction?