MATH SOLVE

1 month ago

Q:
# What is 2.019 as a fraction?

Accepted Solution

A:

Solution: 2.019 as a fraction is 2019/1000
Methods
Converting 2.019 to a fraction, Step-by-Step
Step 1:
The first step to converting 2.019 to a fraction is to re-write 2.019 in the form p/q where p and q both are positive integers. To start with, 2.019 can be written as simply 2.019/1 to technically be written as a fraction.
Step 2:
Next, we will count the number of fractional digits after the decimal point in 2.019, which in this case is 3. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 2.019/1 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 2.019/1 each by 1000:
2.019
Γ
1000
1
Γ
1000
=
2019
1000
\frac{2.019 Γ 1000}{1 Γ 1000} = \frac{2019}{1000}
1 Γ 1000 2.019 Γ 1000 β = 1000 2019 β
Step 3:
Now the last step is to simplify the fraction (if possible) by finding similar factors and cancelling them out:
2019
1000
=
2019
1000
\frac{2019}{1000} = \frac{2019}{1000}
1000 2019 β = 1000 2019 β
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