Q:

What is 289.3 as a fraction?

Accepted Solution

A:
Solution: 289.3 as a fraction is 2893/10 Methods Converting 289.3 to a fraction, Step-by-Step Step 1: The first step to converting 289.3 to a fraction is to re-write 289.3 in the form p/q where p and q both are positive integers. To start with, 289.3 can be written as simply 289.3/1 to technically be written as a fraction. Step 2: Next, we will count the number of fractional digits after the decimal point in 289.3, which in this case is 1. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 289.3/1 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 289.3/1 each by 10: 289.3 Γ— 10 1 Γ— 10 = 2893 10 \frac{289.3 Γ— 10}{1 Γ— 10} = \frac{2893}{10} 1 Γ— 10 289.3 Γ— 10 ​ = 10 2893 ​ Step 3: Now the last step is to simplify the fraction (if possible) by finding similar factors and cancelling them out: 2893 10 = 2893 10 \frac{2893}{10} = \frac{2893}{10} 10 2893 ​ = 10 2893 ​ 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 824.8 as a fraction? What is 5.333 as a fraction? What is 208.6 as a fraction? What is 8.229 as a fraction? What is 21.8 as a fraction?