Solution: 3.958 as a fraction is 1979/500
Methods
Converting 3.958 to a fraction, Step-by-Step
Step 1:
The first step to converting 3.958 to a fraction is to re-write 3.958 in the form p/q where p and q are both positive integers. To start with, 3.958 can be written as simply 3.958/1 to technically be written as a fraction.
Step 2:
Next, we will count the number of fractional digits after the decimal point in 3.958, which in this case is 3. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 3.958/1 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 3.958/1 each by 1000:
3.958
×
1000
1
×
1000
=
3958
1000
\frac{3.958 × 1000}{1 × 1000} = \frac{3958}{1000}
1 × 1000 3.958 × 1000 = 1000 3958
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:
3958
1000
=
1979
500
\frac{3958}{1000} = \frac{1979}{500}
1000 3958 = 500 1979
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