Q:

What is 369.9 as a fraction?

Accepted Solution

A:
Solution: 369.9 as a fraction is 3699/10 Methods Converting 369.9 to a fraction, Step-by-Step Step 1: The first step to converting 369.9 to a fraction is to re-write 369.9 in the form p/q where p and q both are positive integers. To start with, 369.9 can be written as simply 369.9/1 to technically be written as a fraction. Step 2: Next, we will count the number of fractional digits after the decimal point in 369.9, which in this case is 1. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 369.9/1 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 369.9/1 each by 10: 369.9 Γ— 10 1 Γ— 10 = 3699 10 \frac{369.9 Γ— 10}{1 Γ— 10} = \frac{3699}{10} 1 Γ— 10 369.9 Γ— 10 ​ = 10 3699 ​ Step 3: Now the last step is to simplify the fraction (if possible) by finding similar factors and cancelling them out: 3699 10 = 3699 10 \frac{3699}{10} = \frac{3699}{10} 10 3699 ​ = 10 3699 ​ 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 6.986 as a fraction? What is 93.97 as a fraction? What is 9.339 as a fraction? What is 52.8 as a fraction? What is 359.4 as a fraction?