Question

1. Molly is 5 3/4 feet tall, Her brother Andy is 6 1/6 feet tall. How much taller is Andy than Molly?A:5/12 footB:11 11/12 feetC: 1 5/12 feetD: 7 1/2

Answer 1

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,

$\begin{gathered} \text{Height of molly is, M=5}\frac{3}{4}\text{ f}eet. \\ \text{Height of andy is, A=6}\frac{1}{6}\text{ f}eet. \end{gathered}$

THe difference between their height can be calculated as,

$\begin{gathered} d=A-M \\ =6\frac{1}{6}-5\frac{3}{4} \\ =\frac{36+1}{6}-\frac{20+3}{4} \\ =\frac{37}{6}-\frac{23}{4} \\ =\frac{37(4)-23(6)}{6(4)} \\ =\frac{148-138}{24} \\ =\frac{10}{24} \\ =\frac{5}{12}\text{ foot} \end{gathered}$

Hence, option (A) is the correct answer.