Solution: 2.14 as a fraction is 107/50
Methods
Converting 2.14 to a fraction, Step-by-Step
Step 1:
The first step to converting 2.14 to a fraction is to re-write 2.14 in the form p/q where p and q are both positive integers. To start with, 2.14 can be written as simply 2.14/1 to technically be written as a fraction.
Step 2:
Next, we will count the number of fractional digits after the decimal point in 2.14, which in this case is 2. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 2.14/1 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 2.14/1 each by 100:
2.14
×
100
1
×
100
=
214
100
\frac{2.14 × 100}{1 × 100} = \frac{214}{100}
1 × 100 2.14 × 100 = 100 214
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:
214
100
=
107
50
\frac{214}{100} = \frac{107}{50}
100 214 = 50 107
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 559.7 as a fraction?
What is 109.8 as a fraction?
What is 2.973 as a fraction?
What is 9.207 as a fraction?
What is 526.5 as a fraction?