Solution: 7.874 as a fraction is 3937/500
Methods
Converting 7.874 to a fraction, Step-by-Step
Step 1:
The first step to converting 7.874 to a fraction is to re-write 7.874 in the form p/q where p and q both are positive integers. To start with, 7.874 can be written as simply 7.874/1 to technically be written as a fraction.
Step 2:
Next, we will count the number of fractional digits after the decimal point in 7.874, which in this case is 3. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 7.874/1 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 7.874/1 each by 1000:
7.874
×
1000
1
×
1000
=
7874
1000
\frac{7.874 × 1000}{1 × 1000} = \frac{7874}{1000}
1 × 1000 7.874 × 1000 = 1000 7874
Step 3:
Now the last step is to simplify the fraction (if possible) by finding similar factors and cancelling them out:
7874
1000
=
3937
500
\frac{7874}{1000} = \frac{3937}{500}
1000 7874 = 500 3937
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 25.82 as a fraction?
What is 6.783 as a fraction?
What is 4.251 as a fraction?
What is 60.03 as a fraction?
What is 884.4 as a fraction?