Question

Ajax is 5 and 1 fourth feet tall. His sister is 3 eighths foot shorter than Ajax How tall is Ajax Sister?

Answer 1

`4(3)/(4)` feet tall

Explanation:

Ajax is "5 and 1 fourth feet tall", which can be written as the mixed number
`5(1)/(4)` .

His sister is "3 eighths foot shorter", so she's 3/8 feet shorter than 5 1/4.

So, this is just a subtraction problem:

`5(1)/(4) -(3)/(8)`

To solve this, we want to convert 5 1/4 into an improper fraction, which is:
`(21)/(4)` . Now, we want to find a common denominator. In this case, that common denominator is 8, so
`(21)/(4) =(42)/(8)` .

Finally, we subtract 3/8 from 42/8:
`(42)/(8) -(3)/(8) =(39)/(8)` . So, Ajax's sister is 39/8 feet. Converting this into a mixed number, we have: 39/8 = 4
`(6)/(8) =4(3)/(4)` .

Therefore, Ajax's sister is
`4(3)/(4)` feet tall.

Hope this helps!

Answer 2

4⅞ ft

4 and 7 eighths feet

Explanation:

5¼ - ⅜

5¼ = 21/4

21/4 - 3/8

[21×2 - 3]/8

(42 - 3)/8

39/8

4 ⅞