Q:

What is 0.578 as a fraction?

Accepted Solution

A:
Solution: 0.578 as a fraction is 289/500 Methods Converting 0.578 to a fraction, Step-by-Step Step 1: The first step to converting 0.578 to a fraction is to re-write 0.578 in the form p/q where p and q both are positive integers. To start with, 0.578 can be written as simply 0.578/1 to technically be written as a fraction. Step 2: Next, we will count the number of fractional digits after the decimal point in 0.578, which in this case is 3. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 0.578/1 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 0.578/1 each by 1000: 0.578 Γ— 1000 1 Γ— 1000 = 578 1000 \frac{0.578 Γ— 1000}{1 Γ— 1000} = \frac{578}{1000} 1 Γ— 1000 0.578 Γ— 1000 ​ = 1000 578 ​ Step 3: Now the last step is to simplify the fraction (if possible) by finding similar factors and cancelling them out: 578 1000 = 289 500 \frac{578}{1000} = \frac{289}{500} 1000 578 ​ = 500 289 ​ Become a Pro at Converting to Fractions Become a pro at converting decimals or percentages to fractions by exploring some examples, like the ones below: What is 1.566 as a fraction? What is 4.182 as a fraction? What is 9.631 as a fraction? What is 13.97 as a fraction? What is 204.1 as a fraction?