Q:

What is 0.878 as a fraction?

Accepted Solution

A:
Solution: 0.878 as a fraction is 439/500 Methods Converting 0.878 to a fraction, Step-by-Step Step 1: The first step to converting 0.878 to a fraction is to re-write 0.878 in the form p/q where p and q are both positive integers. To start with, 0.878 can be written as simply 0.878/1 to technically be written as a fraction. Step 2: Next, we will count the number of fractional digits after the decimal point in 0.878, which in this case is 3. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 0.878/1 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 0.878/1 each by 1000: 0.878 Γ— 1000 1 Γ— 1000 = 878 1000 \frac{0.878 Γ— 1000}{1 Γ— 1000} = \frac{878}{1000} 1 Γ— 1000 0.878 Γ— 1000 ​ = 1000 878 ​ 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: 878 1000 = 439 500 \frac{878}{1000} = \frac{439}{500} 1000 878 ​ = 500 439 ​ Convert Other Values to Fractions Become a pro at converting decimals or percentages to fractions by exploring some examples, like the ones below: What is 7.908 as a fraction? What is 131.6 as a fraction? What is 41.24 as a fraction? What is 42.47 as a fraction? What is 896.4 as a fraction?