Question

What is 3.18 written as a rational?

Answer 1

The decimal 3.18 written as a rational number is 159/50. This is obtained by converting the decimal to a fraction (318/100) and simplifying by dividing both numerator and denominator by their greatest common divisor of 2.

Step-by-step explanation:

To express the decimal number 3.18 as a rational number, one must first understand that a rational number is any number that can be expressed as the quotient or fraction of two integers. The decimal 3.18 has two decimal places, so to convert it into a fraction, we can write it over 100 and simplify if necessary.

Here is the step-by-step process:

1. Write the decimal as a fraction with a denominator of 100: 3.18 = 318/100.
2. Simplify the fraction by finding the greatest common divisor (GCD) of the numerator and the denominator. In this case, the GCD of 318 and 100 is 2.
3. Divide both the numerator and the denominator by the GCD: 318/2 = 159 and 100/2 = 50.
4. Therefore, the simplified rational number is 159/50.

So, the decimal 3.18 written as a rational is 159/50.

Answer 2

`(318)/(100)`

Step-by-step explanation:

A rational number can be expressed as

`(a)/(b)` ← where a and b are integers

The 8 in 3.18 is in the hundredths position, thus

3.18 =
`(318)/(100)` ← as a rational number