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:
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
