Q:

What is 87.35 as a fraction?

Accepted Solution

A:
Solution: 87.35 as a fraction is 1747/20 Methods Converting 87.35 to a fraction, Step-by-Step Step 1: The first step to converting 87.35 to a fraction is to re-write 87.35 in the form p/q where p and q both are positive integers. To start with, 87.35 can be written as simply 87.35/1 to technically be written as a fraction. Step 2: Next, we will count the number of fractional digits after the decimal point in 87.35, which in this case is 2. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 87.35/1 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 87.35/1 each by 100: 87.35 Γ— 100 1 Γ— 100 = 8735 100 \frac{87.35 Γ— 100}{1 Γ— 100} = \frac{8735}{100} 1 Γ— 100 87.35 Γ— 100 ​ = 100 8735 ​ Step 3: Now the last step is to simplify the fraction (if possible) by finding similar factors and cancelling them out: 8735 100 = 1747 20 \frac{8735}{100} = \frac{1747}{20} 100 8735 ​ = 20 1747 ​ 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 4.091 as a fraction? What is 86.33 as a fraction? What is 3.9 as a fraction? What is 25.21 as a fraction? What is 43.55 as a fraction?