MATH SOLVE

3 months ago

Q:
# What is 3.415 as a fraction?

Accepted Solution

A:

Solution: 3.415 as a fraction is 683/200
Methods
Converting 3.415 to a fraction, Step-by-Step
Step 1:
The first step to converting 3.415 to a fraction is to re-write 3.415 in the form p/q where p and q are both positive integers. To start with, 3.415 can be written as simply 3.415/1 to technically be written as a fraction.
Step 2:
Next, we will count the number of fractional digits after the decimal point in 3.415, which in this case is 3. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 3.415/1 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 3.415/1 each by 1000:
3.415
Γ
1000
1
Γ
1000
=
3415
1000
\frac{3.415 Γ 1000}{1 Γ 1000} = \frac{3415}{1000}
1 Γ 1000 3.415 Γ 1000 β = 1000 3415 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:
3415
1000
=
683
200
\frac{3415}{1000} = \frac{683}{200}
1000 3415 β = 200 683 β
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