Assignment 68494

Write the assignment in a fraction.
Fill in the number in the box so that the equality applies:
(Write the result as a fraction in the base form.)
(1 1/3 - 3/4) · ___ = 1/2

Correct answer:

x =  6/7

Step-by-step explanation:

$$\begin{gathered} a=1\frac{1}{3}=1+\frac{1}{3}=\frac{1\cdot 3+1}{3}=\frac{4}{3}\doteq 1.3333 \\ (a-\frac{3}{4})\cdot x=\frac{1}{2} \\ (1.3333333333333-\frac{3}{4})\cdot x=\frac{1}{2} \\ (1.3333333333333-3/4)\cdot x=1/2 \\ 2.333333x=2 \\ x=\frac{6}{7}\doteq 0.857143=\frac{6}{7}=0.8571 \end{gathered}$$

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