MATH SOLVE

1 month ago

Q:
# What is 9.196 as a fraction?

Accepted Solution

A:

Solution: 9.196 as a fraction is 2299/250
Methods
Converting 9.196 to a fraction, Step-by-Step
Step 1:
The first step to converting 9.196 to a fraction is to re-write 9.196 in the form p/q where p and q are both positive integers. To start with, 9.196 can be written as simply 9.196/1 to technically be written as a fraction.
Step 2:
Next, we will count the number of fractional digits after the decimal point in 9.196, which in this case is 3. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 9.196/1 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 9.196/1 each by 1000:
9.196
Γ
1000
1
Γ
1000
=
9196
1000
\frac{9.196 Γ 1000}{1 Γ 1000} = \frac{9196}{1000}
1 Γ 1000 9.196 Γ 1000 β = 1000 9196 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:
9196
1000
=
2299
250
\frac{9196}{1000} = \frac{2299}{250}
1000 9196 β = 250 2299 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 238.1 as a fraction?
What is 6.537 as a fraction?
What is 3.728 as a fraction?
What is 289.5 as a fraction?
What is 27.04 as a fraction?