Q:

What is 38.4 as a fraction?

Accepted Solution

A:
Solution: 38.4 as a fraction is 192/5 Methods Converting 38.4 to a fraction, Step-by-Step Step 1: The first step to converting 38.4 to a fraction is to re-write 38.4 in the form p/q where p and q both are positive integers. To start with, 38.4 can be written as simply 38.4/1 to technically be written as a fraction. Step 2: Next, we will count the number of fractional digits after the decimal point in 38.4, which in this case is 1. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 38.4/1 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 38.4/1 each by 10: 38.4 Γ— 10 1 Γ— 10 = 384 10 \frac{38.4 Γ— 10}{1 Γ— 10} = \frac{384}{10} 1 Γ— 10 38.4 Γ— 10 ​ = 10 384 ​ Step 3: Now the last step is to simplify the fraction (if possible) by finding similar factors and cancelling them out: 384 10 = 192 5 \frac{384}{10} = \frac{192}{5} 10 384 ​ = 5 192 ​ 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 9.282 as a fraction? What is 19.81 as a fraction? What is 500.2 as a fraction? What is 84.19 as a fraction? What is 5.85 as a fraction?