MATH SOLVE

3 months ago

Q:
# What is 2.175 as a fraction?

Accepted Solution

A:

Solution: 2.175 as a fraction is 87/40MethodsConverting 2.175 to a fraction, Step-by-StepStep 1:The first step to converting 2.175 to a fraction is to re-write 2.175 in the form p/q where p and q are both positive integers. To start with, 2.175 can be written as simply 2.175/1 to technically be written as a fraction.Step 2:Next, we will count the number of fractional digits after the decimal point in 2.175, which in this case is 3. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 2.175/1 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 2.175/1 each by 1000:2.175×10001×1000=21751000\frac{2.175 × 1000}{1 × 1000} = \frac{2175}{1000}1×10002.175×1000=10002175Step 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:21751000=8740\frac{2175}{1000} = \frac{87}{40}10002175=4087Convert Other Values to FractionsBecome a pro at converting decimals or percentages to fractions by exploring some examples, like the ones below:What is 9.043 as a fraction?What is 2.848 as a fraction?What is 54.26 as a fraction?What is 88.89 as a fraction?What is 37.71 as a fraction?