Q:

What is 514.2 as a fraction?

Accepted Solution

A:
Solution: 514.2 as a fraction is 2571/5MethodsConverting 514.2 to a fraction, Step-by-StepStep 1:The first step to converting 514.2 to a fraction is to re-write 514.2 in the form p/q where p and q are both positive integers. To start with, 514.2 can be written as simply 514.2/1 to technically be written as a fraction.Step 2:Next, we will count the number of fractional digits after the decimal point in 514.2, which in this case is 1. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 514.2/1 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 514.2/1 each by 10:514.2×101×10=514210\frac{514.2 × 10}{1 × 10} = \frac{5142}{10}1×10514.2×10​=105142​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:514210=25715\frac{5142}{10} = \frac{2571}{5}105142​=52571​Convert Other Values to FractionsBecome a pro at converting decimals or percentages to fractions by exploring some examples, like the ones below:What is 3.645 as a fraction?What is 53.81 as a fraction?What is 52.83 as a fraction?What is 42.83 as a fraction?What is 0.232 as a fraction?