Question

1. higher order thinking write an addition and subtraction problem and equation for the diagram. then find the missing value. \\(\frac{3}{4}\\) \\(\frac{1}{6}\\) x

Explanation:

Step1: Set up addition equation

$x + \frac{1}{6} = \frac{3}{4}$

Step2: Rearrange to solve for x

$x = \frac{3}{4} - \frac{1}{6}$

Step3: Find common denominator (12)

$x = \frac{9}{12} - \frac{2}{12}$

Step4: Subtract the fractions

$x = \frac{9-2}{12}$

Answer:

$x = \frac{7}{12}$

Word Problem Example:

A rope has a total length of $\frac{3}{4}$ meters. One segment of the rope is $\frac{1}{6}$ meters long. What is the length of the remaining segment of the rope?