Solution: 3.766 as a fraction is 1883/500
Methods
Converting 3.766 to a fraction, Step-by-Step
Step 1:
The first step to converting 3.766 to a fraction is to re-write 3.766 in the form p/q where p and q are both positive integers. To start with, 3.766 can be written as simply 3.766/1 to technically be written as a fraction.
Step 2:
Next, we will count the number of fractional digits after the decimal point in 3.766, which in this case is 3. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 3.766/1 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 3.766/1 each by 1000:
3.766
×
1000
1
×
1000
=
3766
1000
\frac{3.766 × 1000}{1 × 1000} = \frac{3766}{1000}
1 × 1000 3.766 × 1000 = 1000 3766
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:
3766
1000
=
1883
500
\frac{3766}{1000} = \frac{1883}{500}
1000 3766 = 500 1883
Convert Other Values to Fractions
Become a pro at converting decimals or percentages to fractions by exploring some examples, like the ones below:
What is 1.389 as a fraction?
What is 918.7 as a fraction?
What is 57.36 as a fraction?
What is 3.748 as a fraction?
What is 48.14 as a fraction?