Answer:
[tex]4\frac{3}{4}[/tex] feet tall
Step-by-step explanation:
Ajax is "5 and 1 fourth feet tall", which can be written as the mixed number [tex]5\frac{1}{4}[/tex] .
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:
[tex]5\frac{1}{4} -\frac{3}{8}[/tex]
To solve this, we want to convert 5 1/4 into an improper fraction, which is: [tex]\frac{21}{4}[/tex] . Now, we want to find a common denominator. In this case, that common denominator is 8, so [tex]\frac{21}{4} =\frac{42}{8}[/tex] .
Finally, we subtract 3/8 from 42/8: [tex]\frac{42}{8} -\frac{3}{8} =\frac{39}{8}[/tex] . So, Ajax's sister is 39/8 feet. Converting this into a mixed number, we have: 39/8 = 4[tex]\frac{6}{8} =4\frac{3}{4}[/tex] .
Therefore, Ajax's sister is [tex]4\frac{3}{4}[/tex] feet tall.
Hope this helps!
