MATH SOLVE

1 month ago

Q:
# What is 8.434 as a fraction?

Accepted Solution

A:

Solution: 8.434 as a fraction is 4217/500
Methods
Converting 8.434 to a fraction, Step-by-Step
Step 1:
The first step to converting 8.434 to a fraction is to re-write 8.434 in the form p/q where p and q are both positive integers. To start with, 8.434 can be written as simply 8.434/1 to technically be written as a fraction.
Step 2:
Next, we will count the number of fractional digits after the decimal point in 8.434, which in this case is 3. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 8.434/1 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 8.434/1 each by 1000:
8.434
Γ
1000
1
Γ
1000
=
8434
1000
\frac{8.434 Γ 1000}{1 Γ 1000} = \frac{8434}{1000}
1 Γ 1000 8.434 Γ 1000 β = 1000 8434 β
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:
8434
1000
=
4217
500
\frac{8434}{1000} = \frac{4217}{500}
1000 8434 β = 500 4217 β
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 808.7 as a fraction?
What is 45.4 as a fraction?
What is 237.1 as a fraction?
What is 34.93 as a fraction?
What is 5.91 as a fraction?