Solution: 76.46 as a fraction is 3823/50
Methods
Converting 76.46 to a fraction, Step-by-Step
Step 1:
The first step to converting 76.46 to a fraction is to re-write 76.46 in the form p/q where p and q both are positive integers. To start with, 76.46 can be written as simply 76.46/1 to technically be written as a fraction.
Step 2:
Next, we will count the number of fractional digits after the decimal point in 76.46, which in this case is 2. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 76.46/1 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 76.46/1 each by 100:
76.46
×
100
1
×
100
=
7646
100
\frac{76.46 × 100}{1 × 100} = \frac{7646}{100}
1 × 100 76.46 × 100 = 100 7646
Step 3:
Now the last step is to simplify the fraction (if possible) by finding similar factors and cancelling them out:
7646
100
=
3823
50
\frac{7646}{100} = \frac{3823}{50}
100 7646 = 50 3823
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 27.47 as a fraction?
What is 3.939 as a fraction?
What is 88.99 as a fraction?
What is 66.87 as a fraction?
What is 89.42 as a fraction?