Question

The following calculation was performed by James in his mathematics test. In which step did the error occur first?

• A. Step B
• B. None (All steps are correct)
• C. Step C
• D. Step A

Answer 1

The correct option is A Step B

To find the incorrect step, we have to solve the calculation correctly.

So, the expression can be calculated as:

$\frac{12}{8}-\frac{2}{6}$

$=\frac{12÷4}{8÷4}-\frac{2÷2}{6÷2}$

$=\frac{3}{2}-\frac{1}{3}$

$=\frac{3\times 3}{2\times 3}-\frac{1\times 2}{3\times 2}$

$=\frac{9}{6}-\frac{2}{6}$

$=\frac{(9-2)}{6}=\frac{7}{6}$

Now, comparing the correct steps of the calculation with the steps that have been given, we find:


$\therefore \text{The first error was made in}stepB.$