how can i convert a terminating deciaml to a fraction and I have to use an example to support my explanation.
.0345= 345/10000 = reduce.
factor x^3-8y^3
try this site
webmath
To convert a terminating decimal to a fraction, you follow a simple process. Here's how you can do it:
Step 1: Determine the number of decimal places.
Count the number of digits to the right of the decimal point in the terminating decimal. For example, let's consider the terminating decimal 0.75. It has two digits after the decimal point.
Step 2: Write the decimal as a fraction.
Place the decimal part (excluding the decimal point) over a denominator that consists of the number 1 followed by the same number of zeros as the count from the previous step. In our example, we have 0.75, where two decimal places mean we have two zeros after the 1. Therefore, the fraction would be 75/100.
Step 3: Simplify the fraction.
If possible, simplify the fraction by dividing both the numerator and denominator by their greatest common divisor (GCD). In our example, the GCD of 75 and 100 is 25. Dividing both the numerator and denominator by 25 gives us the simplified fraction 3/4.
So, the terminating decimal 0.75 can be converted to the fraction 3/4.
Remember, this process can be applied to any terminating decimal. Just count the number of decimal places and write the decimal as a fraction by placing the decimal part over a denominator that consists of a 1 followed by as many zeros as the count of decimal places.