Q:

What is 6.164 as a fraction?

Accepted Solution

A:
Solution: 6.164 as a fraction is 1541/250 Methods Converting 6.164 to a fraction, Step-by-Step Step 1: The first step to converting 6.164 to a fraction is to re-write 6.164 in the form p/q where p and q both are positive integers. To start with, 6.164 can be written as simply 6.164/1 to technically be written as a fraction. Step 2: Next, we will count the number of fractional digits after the decimal point in 6.164, which in this case is 3. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 6.164/1 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 6.164/1 each by 1000: 6.164 Γ— 1000 1 Γ— 1000 = 6164 1000 \frac{6.164 Γ— 1000}{1 Γ— 1000} = \frac{6164}{1000} 1 Γ— 1000 6.164 Γ— 1000 ​ = 1000 6164 ​ Step 3: Now the last step is to simplify the fraction (if possible) by finding similar factors and cancelling them out: 6164 1000 = 1541 250 \frac{6164}{1000} = \frac{1541}{250} 1000 6164 ​ = 250 1541 ​ 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 2.587 as a fraction? What is 1.179 as a fraction? What is 45.32 as a fraction? What is 726.4 as a fraction? What is 293.4 as a fraction?