Q:

What is 0.048 as a fraction?

Accepted Solution

A:
Solution: 0.048 as a fraction is 6/125 Methods Converting 0.048 to a fraction, Step-by-Step Step 1: The first step to converting 0.048 to a fraction is to re-write 0.048 in the form p/q where p and q are both positive integers. To start with, 0.048 can be written as simply 0.048/1 to technically be written as a fraction. Step 2: Next, we will count the number of fractional digits after the decimal point in 0.048, which in this case is 3. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 0.048/1 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 0.048/1 each by 1000: 0.048 × 1000 1 × 1000 = 48 1000 \frac{0.048 × 1000}{1 × 1000} = \frac{48}{1000} 1 × 1000 0.048 × 1000 ​ = 1000 48 ​ Step 3: Now the last step is to simplify the fraction (if possible) by finding similar factors and cancelling them out, which leads to the following answer: 48 1000 = 6 125 \frac{48}{1000} = \frac{6}{125} 1000 48 ​ = 125 6 ​ Convert Other Values to Fractions Become a pro at converting decimals or percentages to fractions by exploring some examples, like the ones below: What is 6.892 as a fraction? What is 96.29 as a fraction? What is 806.9 as a fraction? What is 8.917 as a fraction? What is 530.6 as a fraction?