Solution: 7.774 as a fraction is 3887/500
Methods
Converting 7.774 to a fraction, Step-by-Step
Step 1:
The first step to converting 7.774 to a fraction is to re-write 7.774 in the form p/q where p and q both are positive integers. To start with, 7.774 can be written as simply 7.774/1 to technically be written as a fraction.
Step 2:
Next, we will count the number of fractional digits after the decimal point in 7.774, which in this case is 3. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 7.774/1 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 7.774/1 each by 1000:
7.774
×
1000
1
×
1000
=
7774
1000
\frac{7.774 × 1000}{1 × 1000} = \frac{7774}{1000}
1 × 1000 7.774 × 1000 = 1000 7774
Step 3:
Now the last step is to simplify the fraction (if possible) by finding similar factors and cancelling them out:
7774
1000
=
3887
500
\frac{7774}{1000} = \frac{3887}{500}
1000 7774 = 500 3887
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 96.47 as a fraction?
What is 94.57 as a fraction?
What is 78.74 as a fraction?
What is 51.3 as a fraction?
What is 29.45 as a fraction?