Middle School

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Find the error in the work below, then show the correct calculation.

\[ \frac{8}{12} \times 6 = \frac{8 \times 1}{12 \times 6} = \frac{8 \times 1}{72} = \frac{8}{72} = \frac{1}{9} \]

Correct Calculation:

\[ \frac{8}{12} \times 6 = \frac{8 \times 6}{12} = \frac{48}{12} = 4 \]

Answer :

Answer:

Step-by-step explanation:

Using BODMAS (Bracket, Of, Division, Multiplication, Addition and Subtraction). In certain regions, PEDMAS (Parentheses, Exponents, Division, Multiplication, Addition and Subtraction)

8/12 X 6.

We can re- write it as

(8/12) X 6

= (2/3) X 6

= (2) X 2 = 4

Ans = 4

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Rewritten by : Barada

Final answer:

The student's mistake was not following the order of operations. The corrected operation should be 8 divided by (12 multiplied by 6), which simplifies to 1/9 after performing the multiplication first and then the division.

Explanation:

The student's error was in the use of order of operations and in the simplification of the fraction. In the expression 8/ (12×6), the multiplication should be done before the division, as per the order of operations (PEMDAS/BODMAS). Let's correct the calculation step by step:

Multiply 12 by 6 to get 72.

Divide 8 by 72 to get the fraction 8/72.

Simplify the fraction by dividing both numerator and denominator by 8, which results in 1/9.

The correct calculation should be:

8 / (12 × 6) = 8 / 72

8 / 72 simplifies to 1 / 9