Solution: 5.435 as a fraction is 1087/200
Methods
Converting 5.435 to a fraction, Step-by-Step
Step 1:
The first step to converting 5.435 to a fraction is to re-write 5.435 in the form p/q where p and q both are positive integers. To start with, 5.435 can be written as simply 5.435/1 to technically be written as a fraction.
Step 2:
Next, we will count the number of fractional digits after the decimal point in 5.435, which in this case is 3. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 5.435/1 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 5.435/1 each by 1000:
5.435
×
1000
1
×
1000
=
5435
1000
\frac{5.435 × 1000}{1 × 1000} = \frac{5435}{1000}
1 × 1000 5.435 × 1000 = 1000 5435
Step 3:
Now the last step is to simplify the fraction (if possible) by finding similar factors and cancelling them out:
5435
1000
=
1087
200
\frac{5435}{1000} = \frac{1087}{200}
1000 5435 = 200 1087
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 0.884 as a fraction?
What is 4.358 as a fraction?
What is 50.77 as a fraction?
What is 59.75 as a fraction?
What is 5.387 as a fraction?