Q:

What is 0.374 as a fraction?

Accepted Solution

A:
Solution: 0.374 as a fraction is 187/500 Methods Converting 0.374 to a fraction, Step-by-Step Step 1: The first step to converting 0.374 to a fraction is to re-write 0.374 in the form p/q where p and q are both positive integers. To start with, 0.374 can be written as simply 0.374/1 to technically be written as a fraction. Step 2: Next, we will count the number of fractional digits after the decimal point in 0.374, which in this case is 3. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 0.374/1 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 0.374/1 each by 1000: 0.374 Γ— 1000 1 Γ— 1000 = 374 1000 \frac{0.374 Γ— 1000}{1 Γ— 1000} = \frac{374}{1000} 1 Γ— 1000 0.374 Γ— 1000 ​ = 1000 374 ​ 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: 374 1000 = 187 500 \frac{374}{1000} = \frac{187}{500} 1000 374 ​ = 500 187 ​ 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 7.758 as a fraction? What is 4.303 as a fraction? What is 125.6 as a fraction? What is 3.989 as a fraction? What is 65.74 as a fraction?