Q:

What is 4.102 as a fraction?

Accepted Solution

A:
Solution: 4.102 as a fraction is 2051/500 Methods Converting 4.102 to a fraction, Step-by-Step Step 1: The first step to converting 4.102 to a fraction is to re-write 4.102 in the form p/q where p and q both are positive integers. To start with, 4.102 can be written as simply 4.102/1 to technically be written as a fraction. Step 2: Next, we will count the number of fractional digits after the decimal point in 4.102, which in this case is 3. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 4.102/1 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 4.102/1 each by 1000: 4.102 Γ— 1000 1 Γ— 1000 = 4102 1000 \frac{4.102 Γ— 1000}{1 Γ— 1000} = \frac{4102}{1000} 1 Γ— 1000 4.102 Γ— 1000 ​ = 1000 4102 ​ Step 3: Now the last step is to simplify the fraction (if possible) by finding similar factors and cancelling them out: 4102 1000 = 2051 500 \frac{4102}{1000} = \frac{2051}{500} 1000 4102 ​ = 500 2051 ​ 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 668.3 as a fraction? What is 543.4 as a fraction? What is 96.83 as a fraction? What is 99.06 as a fraction? What is 3.197 as a fraction?