What is 0.825 written as a fraction simplified
To write 0.825 as a fraction, we can start by noticing that the number has three decimal places. We can place the decimal number over a denominator of 1 followed by three zeros, which is 1000. Therefore,
0.825 = 825/1000
Next, we can simplify the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 25.
825 ÷ 25 = 33
1000 ÷ 25 = 40
Thus, the simplified fraction is:
0.825 = 33/40
To write 0.825 as a fraction, we need to understand that the decimal part represents the numerator and the number of decimal places represents the denominator.
Since 0.825 has three decimal places, the denominator will be 10 raised to the power of 3, which is 1000.
Thus, 0.825 written as a fraction simplified is 825/1000. However, we can further simplify this fraction by dividing both the numerator and denominator by their greatest common divisor, which is 25.
Dividing 825 and 1000 by 25 yields:
825 ÷ 25 = 33
1000 ÷ 25 = 40
Therefore, 0.825 simplified as a fraction is 33/40.