Question

How do you evaluate `7\frac { 1} { 4} \div 9\frac { 4} { 5}`?

Answer 1

See a solution process below:

Explanation:

First, rewrite the expression by converting both mixed numbers to improper fractions:

`(7 + 1/4) -: (9 + 4/5) =>`

`([4/4 xx 7] + 1/4) -: ([5/5 xx 9] + 4/5) =>`

`(28/4 + 1/4) -: (45/5 + 4/5) =>`

`29/4 -: 49/5`

Next, use this formula for dividing fractions to evaluate the expression:

`(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))`

`29/4 -: 49/5 => (color(red)(29)/color(blue)(4))/(color(green)(49)/color(purple)(5)) => (color(red)(29) xx color(purple)(5))/(color(blue)(4) xx color(green)(49)) => 145/196`