Q:

What is 0.448 as a fraction?

Accepted Solution

A:
Solution: 0.448 as a fraction is 56/125 Methods Converting 0.448 to a fraction, Step-by-Step Step 1: The first step to converting 0.448 to a fraction is to re-write 0.448 in the form p/q where p and q both are positive integers. To start with, 0.448 can be written as simply 0.448/1 to technically be written as a fraction. Step 2: Next, we will count the number of fractional digits after the decimal point in 0.448, which in this case is 3. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 0.448/1 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 0.448/1 each by 1000: 0.448 Γ— 1000 1 Γ— 1000 = 448 1000 \frac{0.448 Γ— 1000}{1 Γ— 1000} = \frac{448}{1000} 1 Γ— 1000 0.448 Γ— 1000 ​ = 1000 448 ​ Step 3: Now the last step is to simplify the fraction (if possible) by finding similar factors and cancelling them out: 448 1000 = 56 125 \frac{448}{1000} = \frac{56}{125} 1000 448 ​ = 125 56 ​ 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 735.8 as a fraction? What is 4.266 as a fraction? What is 354.9 as a fraction? What is 79.32 as a fraction? What is 0.36 as a fraction?