What is 0.825 written as a fraction
0.825 can be written as the fraction 825/1000.
33/40
To write the decimal number 0.825 as a fraction, you can follow these steps:
Step 1: Write the decimal number as the numerator of the fraction. For 0.825, the numerator is 825.
Step 2: Determine the denominator of the fraction based on the number of decimal places. Since 0.825 has three decimal places, the denominator will be 10 raised to the power of three, which is 1000.
Step 3: Simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor (GCD). In this case, the GCD of 825 and 1000 is 25. Dividing both 825 and 1000 by 25 gives 33 and 40, respectively.
Therefore, 0.825 written as a fraction is 33/40.
To express 0.825 as a fraction, we can follow these steps:
Step 1: Write down the decimal as the numerator (the top number) of the fraction. In this case, the numerator would be 0.825.
Step 2: Since the decimal has three digits after the decimal point (825), we need to determine the appropriate denominator (the bottom number). The number of digits after the decimal point will determine the number of zeros in the denominator. In this case, we want to convert three decimal places, so the denominator should be 1000 (since there are three zeros).
Step 3: Write the fraction by placing the numerator over the denominator. In this case, the fraction would be 0.825/1000.
Step 4: Simplify the fraction if possible. In this case, both the numerator and denominator can be divided by 25: 0.825/1000 = (0.825 ÷ 25) / (1000 ÷ 25) = 33/40.
So, 0.825 can be written as the fraction 33/40.