Question

Louise is 56 3 /4 inches tall. Theresa is 1 1 /2 inches shorter than Louise and Jane is 1 1/ 5 inches shorter than Theresa. How tall is Jane?

Answer 1

Answer:
`54\frac1{20}\text{ inches}`

Explanation:

Given: Height of Louise =
`56\frac34 \text{ inches }=(4*56+3)/(4)=(227)/(4)\text{ inches}`

Then , height of Theresa = Height of Louise
`-1(1)/(2)\text{ inches}`

`=(227)/(4)-(3)/(2)\text{ inches}\\\\=(227-6)/(4)=(221)/(4)\text{ inches}`

Height of jane = height of Theresa -
`1\frac15` inches

`=(221)/(4)-1\frac15\text{ inches}\\\\=(221)/(4)-(6)/(5)\text{ inches}\\\\=(5*221-6*4)/(20)\text{ inches}\\\\=(1105-24)/(20)=(1081)/(20)\text{ inches}\\\\= 54\frac1{20}\text{ inches}`

Hence, Jane is
`54\frac1{20}\text{ inches}` tall.