Solution: 7.754 as a fraction is 3877/500
Methods
Converting 7.754 to a fraction, Step-by-Step
Step 1:
The first step to converting 7.754 to a fraction is to re-write 7.754 in the form p/q where p and q both are positive integers. To start with, 7.754 can be written as simply 7.754/1 to technically be written as a fraction.
Step 2:
Next, we will count the number of fractional digits after the decimal point in 7.754, which in this case is 3. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 7.754/1 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 7.754/1 each by 1000:
7.754
×
1000
1
×
1000
=
7754
1000
\frac{7.754 × 1000}{1 × 1000} = \frac{7754}{1000}
1 × 1000 7.754 × 1000 = 1000 7754
Step 3:
Now the last step is to simplify the fraction (if possible) by finding similar factors and cancelling them out:
7754
1000
=
3877
500
\frac{7754}{1000} = \frac{3877}{500}
1000 7754 = 500 3877
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 3.925 as a fraction?
What is 19.71 as a fraction?
What is 27.29 as a fraction?
What is 70.51 as a fraction?
What is 93.19 as a fraction?