Q:

What is 420.9 as a fraction?

Accepted Solution

A:
Solution: 420.9 as a fraction is 4209/10MethodsConverting 420.9 to a fraction, Step-by-StepStep 1:The first step to converting 420.9 to a fraction is to re-write 420.9 in the form p/q where p and q are both positive integers. To start with, 420.9 can be written as simply 420.9/1 to technically be written as a fraction.Step 2:Next, we will count the number of fractional digits after the decimal point in 420.9, which in this case is 1. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 420.9/1 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 420.9/1 each by 10:420.9×101×10=420910\frac{420.9 × 10}{1 × 10} = \frac{4209}{10}1×10420.9×10​=104209​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:420910=420910\frac{4209}{10} = \frac{4209}{10}104209​=104209​Convert Other Values to FractionsBecome a pro at converting decimals or percentages to fractions by exploring some examples, like the ones below:What is 8.071 as a fraction?What is 85.42 as a fraction?What is 58.23 as a fraction?What is 736.1 as a fraction?What is 947.7 as a fraction?