Q:

What is 586.2 as a fraction?

Accepted Solution

A:
Solution: 586.2 as a fraction is 2931/5MethodsConverting 586.2 to a fraction, Step-by-StepStep 1:The first step to converting 586.2 to a fraction is to re-write 586.2 in the form p/q where p and q both are positive integers. To start with, 586.2 can be written as simply 586.2/1 to technically be written as a fraction.Step 2:Next, we will count the number of fractional digits after the decimal point in 586.2, which in this case is 1. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 586.2/1 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 586.2/1 each by 10:586.2×101×10=586210\frac{586.2 × 10}{1 × 10} = \frac{5862}{10}1×10586.2×10​=105862​Step 3:Now the last step is to simplify the fraction (if possible) by finding similar factors and cancelling them out:586210=29315\frac{5862}{10} = \frac{2931}{5}105862​=52931​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 32.01 as a fraction?What is 6.611 as a fraction?What is 86.62 as a fraction?What is 274.9 as a fraction?What is 63.13 as a fraction?