Decimals as rational numbers practice what is 0.825 written as a fraction.
0.825 can be written as a fraction by following these steps:
Step 1: Let x be equal to 0.825.
x = 0.825
Step 2: Multiply both sides of the equation by 1000 to remove the decimal point.
1000x = 825
Step 3: Simplify the equation.
1000x = 825
x = 825/1000
Step 4: Reduce the fraction to its simplest form.
x = 33/40
Therefore, 0.825 written as a fraction is 33/40.
To write 0.825 as a fraction, we need to determine the place value of the decimal. In the number 0.825, the digit 8 is in the hundredth place, the digit 2 is in the thousandth place, and the digit 5 is in the ten-thousandth place.
To convert the decimal to a fraction, we can use the following steps:
1. Write the decimal as the numerator.
2. Determine the denominator based on the place value of the decimal.
In this case, since the digit 8 is in the hundredth place, the denominator will be 100. So, 0.825 can be written as:
0.825 = 825/1000
Simplifying this fraction by dividing both the numerator and denominator by 25, we get:
825/1000 = 33/40
Therefore, the fraction equivalent of 0.825 is 33/40.