Q:

What is 35.26 as a fraction?

Accepted Solution

A:
Solution: 35.26 as a fraction is 1763/50 Methods Converting 35.26 to a fraction, Step-by-Step Step 1: The first step to converting 35.26 to a fraction is to re-write 35.26 in the form p/q where p and q both are positive integers. To start with, 35.26 can be written as simply 35.26/1 to technically be written as a fraction. Step 2: Next, we will count the number of fractional digits after the decimal point in 35.26, which in this case is 2. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 35.26/1 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 35.26/1 each by 100: 35.26 × 100 1 × 100 = 3526 100 \frac{35.26 × 100}{1 × 100} = \frac{3526}{100} 1 × 100 35.26 × 100 ​ = 100 3526 ​ Step 3: Now the last step is to simplify the fraction (if possible) by finding similar factors and cancelling them out: 3526 100 = 1763 50 \frac{3526}{100} = \frac{1763}{50} 100 3526 ​ = 50 1763 ​ 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 75.35 as a fraction? What is 95.92 as a fraction? What is 33.25 as a fraction? What is 13.6 as a fraction? What is 0.932 as a fraction?