Solution: 2.762 as a fraction is 1381/500
Methods
Converting 2.762 to a fraction, Step-by-Step
Step 1:
The first step to converting 2.762 to a fraction is to re-write 2.762 in the form p/q where p and q both are positive integers. To start with, 2.762 can be written as simply 2.762/1 to technically be written as a fraction.
Step 2:
Next, we will count the number of fractional digits after the decimal point in 2.762, which in this case is 3. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 2.762/1 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 2.762/1 each by 1000:
2.762
×
1000
1
×
1000
=
2762
1000
\frac{2.762 × 1000}{1 × 1000} = \frac{2762}{1000}
1 × 1000 2.762 × 1000 = 1000 2762
Step 3:
Now the last step is to simplify the fraction (if possible) by finding similar factors and cancelling them out:
2762
1000
=
1381
500
\frac{2762}{1000} = \frac{1381}{500}
1000 2762 = 500 1381
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 75.29 as a fraction?
What is 83.2 as a fraction?
What is 59.6 as a fraction?
What is 42.05 as a fraction?
What is 1.942 as a fraction?