Question

How do you solve `1\frac { 7} { 11} \times 5\frac { 6} { 7} \times 1\frac { 4} { 8}`?

Answer 1

See a solution process below:

Explanation:

First, convert each mixed number into an improper fraction:

`1 7/11 = 1 + 7/11 = (11/11 xx 1) + 7/11 = 11/11 + 7/11 = (11 + 7)/11 = 18/11`

`5 6/7 = 5 + 6/7 = (7/7 xx 5) + 6/7 = (35/7 + 6/7 = (35 + 6)7 = 41/7`

`1 4/8 = 1 1/2 = 1 + 1/2 = (2/2 xx 1) + 1/2 = 2/2 + 1/2 = (2 + 1)/2 = 3/2`

Next, we can rewrite the expression as:

`18/11 xx 41/7 xx 3/2`

Then, we can multiply the numerators of the denominators multiplied:

`(18 xx 41 xx 3)/(11 xx 7 xx 2) =>`

`(color(red)(cancel(color(black)(18)))9 xx 41 xx 3)/(11 xx 7 xx color(red)(cancel(color(black)(2)))1) =>`

`(369 xx 3)/(77 xx 1) =>`

`1107/77`

Now, we can convert this number back into a mixed number:

`1107/77 =>`

`(1078 + 29)/77 =>`

`1078/77 + 29/77 =>`

`14 + 29/77 =>`

`14 29/77`