Question

Irene is 54 ⅚ inches tall. Theresa is 1 ⅓ inches taller than Irene and Jane is 1 ¼ inches taller than Theresa How tall is Jane

Answer 1

Let be "n" Irene's height (in inches), "t" Theresa's height (in inches) and "j" Jane's height (in inches).

You know Irene's height:

`n=54(5)/(6)`

You can write the Mixed number as an Improper fraction as following:

- Multiply the Whole number by the denominator.

- Add the product to the numerator.

- Use the same denominator.

Then:

`\begin{gathered} n=((54)(6)+5)/(6)=(324+5)/(6)=(329)/(6) \\ \end{gathered}`

Now convert the other Mixed numbers to Improper fractions:

`\begin{gathered} 1(1)/(3)=((1)(3)+1)/(3)=(4)/(3) \\ \\ 1(1)/(4)=((1)(4)+1)/(4)=(5)/(4) \end{gathered}`

Based on the information given in the exercise, you can set up the following equation that represents Theresa's height:

`t=(329)/(6)+(4)/(3)`

Adding the fractions, you get:

`t=(337)/(6)`

Now you can set up this equation for Jane's height: