Question

Michelle tried to solve an equation step by step. \begin{aligned} t-\dfrac35&=\dfrac45\\\\ t-\dfrac35+\dfrac35&=\dfrac45+\dfrac35&\green{\text{Step } 1}\\\\ t&=1&\blue{\text{Step } 2} \end{aligned} t− 5 3 ​ t− 5 3 ​ + 5 3 ​ t ​ = 5 4 ​ = 5 4 ​ + 5 3 ​ =1 ​ Step 1 Step 2 ​ Find Michelle's mistake. Choose 1 answer: Choose 1 answer:

Answer 1

Answer:

Step 2

Step-by-step explanation:

Michelle's step in trying to solve the equation is given below:

$\begin{aligned} t-\dfrac35&=\dfrac45\\\\ t-\dfrac35+\dfrac35&=\dfrac45+\dfrac35&\green{\text{Step } 1}\\\\ t&=1&\blue{\text{Step } 2} \end{aligned}$

Michelle made a mistake in Step 2.

The right hand side of Step 1:  $\dfrac45+\dfrac35\neq 1$

Rather, the correct sum is:

$\dfrac45+\dfrac35=\dfrac75\\\\=1\dfrac25$