Q:

What is 4.795 as a fraction?

Accepted Solution

A:
Solution: 4.795 as a fraction is 959/200 Methods Converting 4.795 to a fraction, Step-by-Step Step 1: The first step to converting 4.795 to a fraction is to re-write 4.795 in the form p/q where p and q both are positive integers. To start with, 4.795 can be written as simply 4.795/1 to technically be written as a fraction. Step 2: Next, we will count the number of fractional digits after the decimal point in 4.795, which in this case is 3. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 4.795/1 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 4.795/1 each by 1000: 4.795 Γ— 1000 1 Γ— 1000 = 4795 1000 \frac{4.795 Γ— 1000}{1 Γ— 1000} = \frac{4795}{1000} 1 Γ— 1000 4.795 Γ— 1000 ​ = 1000 4795 ​ Step 3: Now the last step is to simplify the fraction (if possible) by finding similar factors and cancelling them out: 4795 1000 = 959 200 \frac{4795}{1000} = \frac{959}{200} 1000 4795 ​ = 200 959 ​ 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 153.8 as a fraction? What is 1.592 as a fraction? What is 387.8 as a fraction? What is 74.5 as a fraction? What is 16.88 as a fraction?