Solution: 12.76 as a fraction is 319/25
Methods
Converting 12.76 to a fraction, Step-by-Step
Step 1:
The first step to converting 12.76 to a fraction is to re-write 12.76 in the form p/q where p and q are both positive integers. To start with, 12.76 can be written as simply 12.76/1 to technically be written as a fraction.
Step 2:
Next, we will count the number of fractional digits after the decimal point in 12.76, which in this case is 2. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 12.76/1 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 12.76/1 each by 100:
12.76
×
100
1
×
100
=
1276
100
\frac{12.76 × 100}{1 × 100} = \frac{1276}{100}
1 × 100 12.76 × 100 = 100 1276
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:
1276
100
=
319
25
\frac{1276}{100} = \frac{319}{25}
100 1276 = 25 319
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 3.841 as a fraction?
What is 0.662 as a fraction?
What is 53.3 as a fraction?
What is 30.75 as a fraction?
What is 8.349 as a fraction?