Q:

What is 1.542 as a fraction?

Accepted Solution

A:
Solution: 1.542 as a fraction is 771/500 Methods Converting 1.542 to a fraction, Step-by-Step Step 1: The first step to converting 1.542 to a fraction is to re-write 1.542 in the form p/q where p and q are both positive integers. To start with, 1.542 can be written as simply 1.542/1 to technically be written as a fraction. Step 2: Next, we will count the number of fractional digits after the decimal point in 1.542, which in this case is 3. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 1.542/1 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 1.542/1 each by 1000: 1.542 Γ— 1000 1 Γ— 1000 = 1542 1000 \frac{1.542 Γ— 1000}{1 Γ— 1000} = \frac{1542}{1000} 1 Γ— 1000 1.542 Γ— 1000 ​ = 1000 1542 ​ 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: 1542 1000 = 771 500 \frac{1542}{1000} = \frac{771}{500} 1000 1542 ​ = 500 771 ​ 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 5.512 as a fraction? What is 499.9 as a fraction? What is 1.873 as a fraction? What is 740.8 as a fraction? What is 5.931 as a fraction?