Question

Lisa is 53 3 4 inches tall. Joey is 1 1 2 inches shorter than Lisa and Jane is 1 1 5 inches shorter than Joey. How tall is Jane?

Answer 1

Answer: Jane's height =
`51(1)/(20)\text{ inches}`

Explanation:

Given: Lisa's height =
`53\frac34\text{ inches}=(4*53+3)/(4)\text{ inches}`

`=(215)/(4)\text{ inches}`

Joey's height =
`\frac{215}4-1\frac12` inches

`=\frac{215}4-\frac32\\\\=(215-6)/(4)\\\\=(209)/(4)\text{ inches}`

Jane's height =
`(209)/(4)-1\frac15` inches

`=(209)/(4)-(6)/(5)\\\\=(209*5-6*4)/(20)\\\\=(1045-24)/(20)\\\\=(1021)/(20)\\\\=51(1)/(20)\text{ inches}`

Hence, Jane's height =
`51(1)/(20)\text{ inches}`