How do you evaluate 2\frac { 3} { 10} + 6\frac { 2} { 4}?

1 Answer
Oct 15, 2017

8 4/5

Explanation:

A proper fraction is simply the sum of a whole number and a fraction. Thus I can rewrite this as:

2 3/10+6 2/4 = 2 + 3/10 + 6 + 2/4

=2+6+3/10+2/4

=8+3/10+2/4

We know that 2/4=1/2.

To add 3/10 and 1/2, we need to come up with a common denominator. For this, we look at the Least Common Multiple of 10 and 2. Both numbers divide evenly into 10, so that's what we'll use.

3/10=3/10

1/2=5/10

3/10+5/10=8/10

We can reduce 8/10 to be 4/5.

Our final answer:

8 4/5