Q:

What is 428.9 as a fraction?

Accepted Solution

A:
Solution: 428.9 as a fraction is 4289/10 Methods Converting 428.9 to a fraction, Step-by-Step Step 1: The first step to converting 428.9 to a fraction is to re-write 428.9 in the form p/q where p and q both are positive integers. To start with, 428.9 can be written as simply 428.9/1 to technically be written as a fraction. Step 2: Next, we will count the number of fractional digits after the decimal point in 428.9, which in this case is 1. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 428.9/1 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 428.9/1 each by 10: 428.9 Γ— 10 1 Γ— 10 = 4289 10 \frac{428.9 Γ— 10}{1 Γ— 10} = \frac{4289}{10} 1 Γ— 10 428.9 Γ— 10 ​ = 10 4289 ​ Step 3: Now the last step is to simplify the fraction (if possible) by finding similar factors and cancelling them out: 4289 10 = 4289 10 \frac{4289}{10} = \frac{4289}{10} 10 4289 ​ = 10 4289 ​ 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 390.1 as a fraction? What is 8.397 as a fraction? What is 0.353 as a fraction? What is 56.25 as a fraction? What is 85.88 as a fraction?