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

Its 1/5

Explanation:

Khan

Answer 2

Step 2

Explanation:

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

`\begin{aligned} t-\frac35&=\frac45\\\\ t-\frac35+\frac35&=\frac45+\frac35&\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:
`\frac45+\frac35\\eq 1`

Rather, the correct sum is:

`\frac45+\frac35=\frac75\\\\=1\frac25`