Solution: 1.545 as a fraction is 309/200
Methods
Converting 1.545 to a fraction, Step-by-Step
Step 1:
The first step to converting 1.545 to a fraction is to re-write 1.545 in the form p/q where p and q both are positive integers. To start with, 1.545 can be written as simply 1.545/1 to technically be written as a fraction.
Step 2:
Next, we will count the number of fractional digits after the decimal point in 1.545, which in this case is 3. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 1.545/1 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 1.545/1 each by 1000:
1.545
×
1000
1
×
1000
=
1545
1000
\frac{1.545 × 1000}{1 × 1000} = \frac{1545}{1000}
1 × 1000 1.545 × 1000 = 1000 1545
Step 3:
Now the last step is to simplify the fraction (if possible) by finding similar factors and cancelling them out:
1545
1000
=
309
200
\frac{1545}{1000} = \frac{309}{200}
1000 1545 = 200 309
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 6.136 as a fraction?
What is 18.2 as a fraction?
What is 28.21 as a fraction?
What is 0.366 as a fraction?
What is 9.855 as a fraction?