How do you evaluate #\frac { 20} { 13} - 5#?

2 Answers
Sep 2, 2017

#-45/13#

Explanation:

To do the subtraction, we need to change 5 into a fraction with a denominator of 13.

#13*5 = 65 -> 65/13 =5#

Now the problem looks like this:

#20/13 - 65/13 = -45/13#

Sep 3, 2017

#-3 6/13#

Explanation:

We can work with mixed numbers.

#20/13 = 1 7/13#

Now we have: #1 7/13 -5#

Write #5# as a mixed fraction as well: #5 = 4 13/13#

#1 7/13 - 4 13/13" "larr# subtract the whole numbers, then the fractions

#= 1-4 and (7-13)/13#

#=-3 and -6/13#

#-3 6/13#