Solution: 3.739 as a fraction is 3739/1000
Methods
Converting 3.739 to a fraction, Step-by-Step
Step 1:
The first step to converting 3.739 to a fraction is to re-write 3.739 in the form p/q where p and q both are positive integers. To start with, 3.739 can be written as simply 3.739/1 to technically be written as a fraction.
Step 2:
Next, we will count the number of fractional digits after the decimal point in 3.739, which in this case is 3. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 3.739/1 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 3.739/1 each by 1000:
3.739
×
1000
1
×
1000
=
3739
1000
\frac{3.739 × 1000}{1 × 1000} = \frac{3739}{1000}
1 × 1000 3.739 × 1000 = 1000 3739
Step 3:
Now the last step is to simplify the fraction (if possible) by finding similar factors and cancelling them out:
3739
1000
=
3739
1000
\frac{3739}{1000} = \frac{3739}{1000}
1000 3739 = 1000 3739
Become a Pro at Converting to Fractions
Become a pro at converting decimals or percentages to fractions by exploring some examples, like the ones below:
What is 42.87 as a fraction?
What is 4.557 as a fraction?
What is 94.82 as a fraction?
What is 713.4 as a fraction?
What is 99.86 as a fraction?