Question

How do you evaluate `5\frac { 1} { 3} \times \frac { 7} { 9}`?

Answer 1

See a solution process below:

Explanation:

First, convert the first number from a mixed number to an improper fraction:

`5 1/3 = 5 + 1/3 = (3/3 xx 5) + 1/3 = 15/3 + 1/3 = (15 + 1)/3 = 16/3`

We can now rewrite the problem as:

`16/3 xx 7/9 = (16 xx 7)/(3 xx 9) = 112/27`

If necessary, we can convert this to a mixed number:

`112/27 = (108 + 4)27 = 108/27 + 4/27 = 4 + 4/27 = 4 4/27`