Question

How do you evaluate `\frac { - \frac { 4} { 7} ( - \frac { 1} { 9} ) } { \frac { 1} { 13} }`?

Answer 1

See a solution process below:

Explanation:

First, multiply the fractions in the numerator of the expression:

`(-4/7(-1/9))/(1/13) => ((-4 xx -1)/(7 xx 9))/(1/13) => (4/63)/(1/13)`

Now, use this rule for dividing fractions to complete the evaluation:

`(color(red)(a)/color(blue)(b))/(color(green)(c)/color(purple)(d)) = (color(red)(a) xx color(purple)(d))/(color(blue)(b) xx color(green)(c))`

`(color(red)(4)/color(blue)(63))/(color(green)(1)/color(purple)(13)) = (color(red)(4) xx color(purple)(13))/(color(blue)(63) xx color(green)(1)) = 52/63`