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an expression is shown

5/6 m + 12 - 2/3 m-6

a student wrote the steps she used to determine an expression equivalent to the expression shown.

step 1: 5/6 m+12-2/3 m-6

step 2: 5/6 m-2/3 m + 12-6

step 3:(5/6) (- 2/3) m +12-6

step 4: - 10/18 m +6

in which step did the student make her first error?

explain your response

write the correct expression for this step

explain your response

an expression is shown 56 m 12 23 m6a student wrote the steps she used to determine an expression equivalent to the expression shownstep 1 56 m1223 m6step 2 56 class=

Respuesta :

Esther

Answer:

Step-by-step explanation:

[tex]\frac{5}{6}m+12-\frac{2}{3}-6[/tex]

*Note that [tex]-\frac{2}{3}[/tex] is equivalent to [tex]-\frac{4}{6}[/tex]*

[tex]Step\ 1\ \frac{5}{6}m+12-\frac{2}{3}m-6 \\\\[/tex]

[tex]Step\ 2\ \frac{5}{6}m-\frac{2}{3}m+12-6 \\\\[/tex]

[tex]Step\ 3\ (\frac{5}{6})(-\frac{2}{3})m+12-6 \\\\[/tex] <== this is where the mistake was made.

[tex]Step\ 4\ -\frac{10}{6}m+6[/tex]

Questions:

1. In which step did the student make her first error?

Explanation: The students made her first error in Step 3 because she multiplied the fractions, instead of subtracting them.

2. Write the correct expression for this step

The correct expression for Step 3:

[tex]Step\ 2\ \frac{5}{6}m-\frac{2}{3}m+12-6\\\\[/tex]

           [tex]\frac{5}{6}m-\frac{4}{6}m+12-6\\\\[/tex]

           [tex]\frac{1}{6}m+12-6\\[/tex]

           [tex]\frac{1}{6}m+6[/tex]  

Explanation: First, I converted [tex]-\frac{2}{3}[/tex] to [tex]-\frac{4}{6}[/tex]. Then subtracted the fraction. After, I subtracted the number (integers).

Hope this helps!

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