Q:

What is 42.74 as a fraction?

Accepted Solution

A:
Solution: 42.74 as a fraction is 2137/50 Methods Converting 42.74 to a fraction, Step-by-Step Step 1: The first step to converting 42.74 to a fraction is to re-write 42.74 in the form p/q where p and q both are positive integers. To start with, 42.74 can be written as simply 42.74/1 to technically be written as a fraction. Step 2: Next, we will count the number of fractional digits after the decimal point in 42.74, which in this case is 2. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 42.74/1 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 42.74/1 each by 100: 42.74 × 100 1 × 100 = 4274 100 \frac{42.74 × 100}{1 × 100} = \frac{4274}{100} 1 × 100 42.74 × 100 ​ = 100 4274 ​ Step 3: Now the last step is to simplify the fraction (if possible) by finding similar factors and cancelling them out: 4274 100 = 2137 50 \frac{4274}{100} = \frac{2137}{50} 100 4274 ​ = 50 2137 ​ 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 22.8 as a fraction? What is 41.48 as a fraction? What is 76.94 as a fraction? What is 7.769 as a fraction? What is 83.32 as a fraction?