Q:

What is 0.262 as a fraction?

Accepted Solution

A:
Solution: 0.262 as a fraction is 131/500 Methods Converting 0.262 to a fraction, Step-by-Step Step 1: The first step to converting 0.262 to a fraction is to re-write 0.262 in the form p/q where p and q both are positive integers. To start with, 0.262 can be written as simply 0.262/1 to technically be written as a fraction. Step 2: Next, we will count the number of fractional digits after the decimal point in 0.262, which in this case is 3. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 0.262/1 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 0.262/1 each by 1000: 0.262 Γ— 1000 1 Γ— 1000 = 262 1000 \frac{0.262 Γ— 1000}{1 Γ— 1000} = \frac{262}{1000} 1 Γ— 1000 0.262 Γ— 1000 ​ = 1000 262 ​ Step 3: Now the last step is to simplify the fraction (if possible) by finding similar factors and cancelling them out: 262 1000 = 131 500 \frac{262}{1000} = \frac{131}{500} 1000 262 ​ = 500 131 ​ 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 255.3 as a fraction? What is 36.2 as a fraction? What is 950.2 as a fraction? What is 467.9 as a fraction? What is 604.5 as a fraction?