Solution: 9.144 as a fraction is 1143/125
Methods
Converting 9.144 to a fraction, Step-by-Step
Step 1:
The first step to converting 9.144 to a fraction is to re-write 9.144 in the form p/q where p and q are both positive integers. To start with, 9.144 can be written as simply 9.144/1 to technically be written as a fraction.
Step 2:
Next, we will count the number of fractional digits after the decimal point in 9.144, which in this case is 3. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 9.144/1 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 9.144/1 each by 1000:
9.144
×
1000
1
×
1000
=
9144
1000
\frac{9.144 × 1000}{1 × 1000} = \frac{9144}{1000}
1 × 1000 9.144 × 1000 = 1000 9144
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:
9144
1000
=
1143
125
\frac{9144}{1000} = \frac{1143}{125}
1000 9144 = 125 1143
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 12.79 as a fraction?
What is 95.4 as a fraction?
What is 75.59 as a fraction?
What is 9.587 as a fraction?
What is 28.33 as a fraction?