Solution: 1.078 as a fraction is 539/500
Methods
Converting 1.078 to a fraction, Step-by-Step
Step 1:
The first step to converting 1.078 to a fraction is to re-write 1.078 in the form p/q where p and q both are positive integers. To start with, 1.078 can be written as simply 1.078/1 to technically be written as a fraction.
Step 2:
Next, we will count the number of fractional digits after the decimal point in 1.078, which in this case is 3. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 1.078/1 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 1.078/1 each by 1000:
1.078
×
1000
1
×
1000
=
1078
1000
\frac{1.078 × 1000}{1 × 1000} = \frac{1078}{1000}
1 × 1000 1.078 × 1000 = 1000 1078
Step 3:
Now the last step is to simplify the fraction (if possible) by finding similar factors and cancelling them out:
1078
1000
=
539
500
\frac{1078}{1000} = \frac{539}{500}
1000 1078 = 500 539
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 73.4 as a fraction?
What is 44.56 as a fraction?
What is 58.63 as a fraction?
What is 89.69 as a fraction?
What is 5.538 as a fraction?