Q:

What is 340.4 as a fraction?

Accepted Solution

A:
Solution: 340.4 as a fraction is 1702/5MethodsConverting 340.4 to a fraction, Step-by-StepStep 1:The first step to converting 340.4 to a fraction is to re-write 340.4 in the form p/q where p and q both are positive integers. To start with, 340.4 can be written as simply 340.4/1 to technically be written as a fraction.Step 2:Next, we will count the number of fractional digits after the decimal point in 340.4, which in this case is 1. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 340.4/1 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 340.4/1 each by 10:340.4×101×10=340410\frac{340.4 × 10}{1 × 10} = \frac{3404}{10}1×10340.4×10​=103404​Step 3:Now the last step is to simplify the fraction (if possible) by finding similar factors and cancelling them out:340410=17025\frac{3404}{10} = \frac{1702}{5}103404​=51702​Become a Pro at Converting to FractionsBecome a pro at converting decimals or percentages to fractions by exploring some examples, like the ones below:What is 0.647 as a fraction?What is 64.35 as a fraction?What is 26.26 as a fraction?What is 65.4 as a fraction?What is 801.1 as a fraction?