Webmath.com: Doing math with fractions

The problem here is to add

and

These two fractions do not have the same denominators (lower numbers), so we must first find a common denominator of the two fractions, before adding them together.

For the denominators here, the 5 and 10, a common denominator for both is 10.

With the common denominator, the
becomes a

and the
becomes a

So now our addition problem becomes this...

The problem here is to add and

Since these two fractions have the same denominators (the numbers under the fraction bar), we can add them together by simply adding the numerators (the 4 and 1 = 5), while keeping the same denominator (the 10).

And, we just add the whole number parts, or 1 + 4 = 5.

Our answer here is:

The fraction is not reduced to lowest terms. We can reduce this fraction to lowest
terms by dividing both the numerator and denominator by 5.

Why divide by 5? 5 is the Greatest Common Divisor (GCD)
or Greatest Common Factor (GCF) of the numbers 5 and 10.
So, this fraction reduced to lowest terms is

The final answer is: