Option (A)
Given:
Height of Molly is 5 3/4 feet takk.
Height of Andy is 6 1/6 feet takk.
The objective is to find how much taller is Andy than Molly.
The given equation can be wtitten as,
[tex]\begin{gathered} \text{Height of molly is, M=5}\frac{3}{4}\text{ f}eet. \\ \text{Height of andy is, A=6}\frac{1}{6}\text{ f}eet. \end{gathered}[/tex]THe difference between their height can be calculated as,
[tex]\begin{gathered} d=A-M \\ =6\frac{1}{6}-5\frac{3}{4} \\ =\frac{36+1}{6}-\frac{20+3}{4} \\ =\frac{37}{6}-\frac{23}{4} \\ =\frac{37(4)-23(6)}{6(4)} \\ =\frac{148-138}{24} \\ =\frac{10}{24} \\ =\frac{5}{12}\text{ foot} \end{gathered}[/tex]Hence, option (A) is the correct answer.
