Solution: 214.5 as a fraction is 429/2
Methods
Converting 214.5 to a fraction, Step-by-Step
Step 1:
The first step to converting 214.5 to a fraction is to re-write 214.5 in the form p/q where p and q are both positive integers. To start with, 214.5 can be written as simply 214.5/1 to technically be written as a fraction.
Step 2:
Next, we will count the number of fractional digits after the decimal point in 214.5, which in this case is 1. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 214.5/1 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 214.5/1 each by 10:
214.5
×
10
1
×
10
=
2145
10
\frac{214.5 × 10}{1 × 10} = \frac{2145}{10}
1 × 10 214.5 × 10 = 10 2145
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:
2145
10
=
429
2
\frac{2145}{10} = \frac{429}{2}
10 2145 = 2 429
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 2.897 as a fraction?
What is 41.21 as a fraction?
What is 9.042 as a fraction?
What is 59.77 as a fraction?
What is 21.28 as a fraction?