Q:

What is 381.3 as a fraction?

Accepted Solution

A:
Solution: 381.3 as a fraction is 3813/10 Methods Converting 381.3 to a fraction, Step-by-Step Step 1: The first step to converting 381.3 to a fraction is to re-write 381.3 in the form p/q where p and q both are positive integers. To start with, 381.3 can be written as simply 381.3/1 to technically be written as a fraction. Step 2: Next, we will count the number of fractional digits after the decimal point in 381.3, which in this case is 1. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 381.3/1 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 381.3/1 each by 10: 381.3 × 10 1 × 10 = 3813 10 \frac{381.3 × 10}{1 × 10} = \frac{3813}{10} 1 × 10 381.3 × 10 ​ = 10 3813 ​ Step 3: Now the last step is to simplify the fraction (if possible) by finding similar factors and cancelling them out: 3813 10 = 3813 10 \frac{3813}{10} = \frac{3813}{10} 10 3813 ​ = 10 3813 ​ 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 35.37 as a fraction? What is 41.57 as a fraction? What is 3.889 as a fraction? What is 2.342 as a fraction? What is 7.83 as a fraction?