Q:

What is 37.25 as a fraction?

Accepted Solution

A:
Solution: 37.25 as a fraction is 149/4 Methods Converting 37.25 to a fraction, Step-by-Step Step 1: The first step to converting 37.25 to a fraction is to re-write 37.25 in the form p/q where p and q both are positive integers. To start with, 37.25 can be written as simply 37.25/1 to technically be written as a fraction. Step 2: Next, we will count the number of fractional digits after the decimal point in 37.25, which in this case is 2. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 37.25/1 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 37.25/1 each by 100: 37.25 Γ— 100 1 Γ— 100 = 3725 100 \frac{37.25 Γ— 100}{1 Γ— 100} = \frac{3725}{100} 1 Γ— 100 37.25 Γ— 100 ​ = 100 3725 ​ Step 3: Now the last step is to simplify the fraction (if possible) by finding similar factors and cancelling them out: 3725 100 = 149 4 \frac{3725}{100} = \frac{149}{4} 100 3725 ​ = 4 149 ​ 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 396.8 as a fraction? What is 47.24 as a fraction? What is 1.494 as a fraction? What is 0.029 as a fraction? What is 769.6 as a fraction?