MATH SOLVE

3 months ago

Q:
# What is 2.257 as a fraction?

Accepted Solution

A:

Solution: 2.257 as a fraction is 2257/1000
Methods
Converting 2.257 to a fraction, Step-by-Step
Step 1:
The first step to converting 2.257 to a fraction is to re-write 2.257 in the form p/q where p and q are both positive integers. To start with, 2.257 can be written as simply 2.257/1 to technically be written as a fraction.
Step 2:
Next, we will count the number of fractional digits after the decimal point in 2.257, which in this case is 3. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 2.257/1 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 2.257/1 each by 1000:
2.257
Γ
1000
1
Γ
1000
=
2257
1000
\frac{2.257 Γ 1000}{1 Γ 1000} = \frac{2257}{1000}
1 Γ 1000 2.257 Γ 1000 β = 1000 2257 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:
2257
1000
=
2257
1000
\frac{2257}{1000} = \frac{2257}{1000}
1000 2257 β = 1000 2257 β
Convert Other Values to Fractions
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