Question

Analyze Manda's work. Is she correct? If not, what was her mistake? Yes, she is correct. In step 2, she needed to multiply both sides by 10. In step 3, she did not subtract one x from the left side. In step 4, she did not simplify her fraction. 1. X=0.27272727273 2. 100x=27.2727272 3. 100x= 27 4. X=27/100

Answer 1

Answer:

Her mistake was in steps 3 and 4.

x = 3/11

Step-by-step explanation:

No. She isn't correct.

Step 1: Let x = 0.2727272727 ...Equation 1

Step 2: Multiply both sides by 100.

100x = 27.27272727 ...Equation 2

Step 3: Subtract equation 1 from equation 2.

100x-x = 27.27272727-0.2727272727

99x = 27

Step 4: Divide both sides by 27.

99x/99 = 27/99

x = 3/11

Answer 2

Answer:

Her mistake was in step 4, she didnot subtract one x from the left side, she had 100x instead of 99x.

Step-by-step explanation:

x = 0.27272727273 ..................(1)

Her step 1 was correct, she multiplied by 100, and obtained:

100x = 27.272727273...............(2)

Subtracting equation (1) from (2)

100x - x = 27.272727273 - 0.27272727273

Her mistake was in step 4, she didnot subtract one x from the left side, she had 100x instead of 99x.

99x = 27

Even if she hadn't simplified her fraction, she would have had

x = 27/99