Q:

What is 6.176 as a fraction?

Accepted Solution

A:
Solution: 6.176 as a fraction is 772/125 Methods Converting 6.176 to a fraction, Step-by-Step Step 1: The first step to converting 6.176 to a fraction is to re-write 6.176 in the form p/q where p and q are both positive integers. To start with, 6.176 can be written as simply 6.176/1 to technically be written as a fraction. Step 2: Next, we will count the number of fractional digits after the decimal point in 6.176, which in this case is 3. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 6.176/1 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 6.176/1 each by 1000: 6.176 Γ— 1000 1 Γ— 1000 = 6176 1000 \frac{6.176 Γ— 1000}{1 Γ— 1000} = \frac{6176}{1000} 1 Γ— 1000 6.176 Γ— 1000 ​ = 1000 6176 ​ 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: 6176 1000 = 772 125 \frac{6176}{1000} = \frac{772}{125} 1000 6176 ​ = 125 772 ​ 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 235.2 as a fraction? What is 3.627 as a fraction? What is 84.52 as a fraction? What is 0.373 as a fraction? What is 96.94 as a fraction?