Q:

What is 400.1 as a fraction?

Accepted Solution

A:
Solution: 400.1 as a fraction is 4001/10 Methods Converting 400.1 to a fraction, Step-by-Step Step 1: The first step to converting 400.1 to a fraction is to re-write 400.1 in the form p/q where p and q are both positive integers. To start with, 400.1 can be written as simply 400.1/1 to technically be written as a fraction. Step 2: Next, we will count the number of fractional digits after the decimal point in 400.1, which in this case is 1. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 400.1/1 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 400.1/1 each by 10: 400.1 × 10 1 × 10 = 4001 10 \frac{400.1 × 10}{1 × 10} = \frac{4001}{10} 1 × 10 400.1 × 10 ​ = 10 4001 ​ 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: 4001 10 = 4001 10 \frac{4001}{10} = \frac{4001}{10} 10 4001 ​ = 10 4001 ​ 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 308.6 as a fraction? What is 9.339 as a fraction? What is 43.71 as a fraction? What is 52.12 as a fraction? What is 95.26 as a fraction?