Q:

What is 9.706 as a fraction?

Accepted Solution

A:
Solution: 9.706 as a fraction is 4853/500 Methods Converting 9.706 to a fraction, Step-by-Step Step 1: The first step to converting 9.706 to a fraction is to re-write 9.706 in the form p/q where p and q both are positive integers. To start with, 9.706 can be written as simply 9.706/1 to technically be written as a fraction. Step 2: Next, we will count the number of fractional digits after the decimal point in 9.706, which in this case is 3. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 9.706/1 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 9.706/1 each by 1000: 9.706 Γ— 1000 1 Γ— 1000 = 9706 1000 \frac{9.706 Γ— 1000}{1 Γ— 1000} = \frac{9706}{1000} 1 Γ— 1000 9.706 Γ— 1000 ​ = 1000 9706 ​ Step 3: Now the last step is to simplify the fraction (if possible) by finding similar factors and cancelling them out: 9706 1000 = 4853 500 \frac{9706}{1000} = \frac{4853}{500} 1000 9706 ​ = 500 4853 ​ 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 4.851 as a fraction? What is 500.7 as a fraction? What is 232.9 as a fraction? What is 79.1 as a fraction? What is 352.9 as a fraction?