what is 6.125 as a fraction?
A.) 6 1/8
B.) 6 125/1,000
C.) 6 1/25
D.) 6 5/4
A.) 6 1/8
To convert a decimal number to a fraction, you can follow these steps:
Step 1: Write down the decimal number as the numerator.
In this case, the decimal number is 6.125.
Step 2: Determine the denominator based on the decimal places.
The number 6.125 has 3 decimal places, so the denominator should be 10 raised to the power of the number of decimal places. Since there are 3 decimal places, the denominator would be 10^3, which equals 1000.
Step 3: Simplify the fraction, if possible.
To simplify the fraction, we divide both the numerator and the denominator by their greatest common divisor.
In this case, the greatest common divisor of 6.125 and 1000 is 125.
Dividing both the numerator and denominator by 125, we get:
6.125 / 125 = 0.049
1000 / 125 = 8
So, the simplified fraction is 49/8.
Step 4: Convert the improper fraction to a mixed number, if needed.
49/8 can be converted to a mixed number by dividing the numerator (49) by the denominator (8). The whole number part becomes the whole number of the mixed number, and the remainder becomes the numerator of the fractional part.
Dividing 49 by 8, we get a quotient of 6 and a remainder of 1.
Therefore, the mixed number form of 49/8 is 6 1/8.
So the answer is A.) 6 1/8.
To convert a decimal to a fraction, follow these steps:
1. Write down the decimal number as the numerator.
In this case, the decimal number is 6.125, so the numerator will be 6.125.
2. Determine the denominator based on the decimal places.
The denominator will depend on the number of decimal places. Since there are 3 decimal places in 6.125, we need to use the number 1,000 as the denominator.
3. Simplify the fraction (if possible).
In this case, we cannot simplify further, so the previous fraction will be the final answer.
Therefore, the correct answer is B.) 6 125/1,000.